{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "# Pynamical: phase diagrams of the logistic map\n",
    "\n",
    "Author: Geoff Boeing\n",
    "\n",
    "Journal article: Boeing, G. 2016. \"[Visual Analysis of Nonlinear Dynamical Systems: Chaos, Fractals, Self-Similarity and the Limits of Prediction](http://geoffboeing.com/publications/nonlinear-chaos-fractals-prediction/).\" *Systems*, 4 (4), 37. doi:10.3390/systems4040037.\n",
    "\n",
    "Blog post: http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/\n",
    "\n",
    "This notebook demonstrates several ways to create phase diagrams to visualize system attractors and differentiate random noise from chaos. Phase diagrams embed 1-dimensional data (like time series) from a dynamical system into 2- or 3-dimensional phase space by plotting the value at time t vs the value at time t+1 (vs the value at time t+2, if it's a 3-D plot)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "import pynamical\n",
    "from pynamical import simulate, save_fig, phase_diagram, phase_diagram_3d\n",
    "import pandas as pd, numpy as np, matplotlib.pyplot as plt, IPython.display as IPdisplay\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "title_font = pynamical.get_title_font()\n",
    "label_font = pynamical.get_label_font()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## First, let's a create a phase diagram to show the logistic map's fixed-point attractor at 0.655 when the growth rate parameter is set to 2.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
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S002ddYDMhl3u89iM1Elvo1S3ax6n0XnZ491I7eRTSB173+xCTGNCRJxHmlF8GalT83BS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\nnDzMzKzY/wd4MghAV1ramAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef75763c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a phase diagram for 100 generations for the growth rate parameter 2.9\n",
    "# it shows points converging on 0.655 because the logistic map has a fixed-point attractor at 0.655 when r=2.9\n",
    "pops = simulate(num_gens=100, rate_min=2.9, num_rates=1, num_discard=100)\n",
    "phase_diagram(pops, title='Logistic Map Attractor, r=2.9', size=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Next, let's create phase diagrams to show the logistic map's limit cycle attractor when the growth rate parameter is set to 3.50 - 3.57"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8NmCiP2RmZp2l0/o81iaNWqmZw6K3OzUzsw7QadOTNLrqt2HVSNKhpKYtVlxxxW022aTR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\nmZlV5uRhZmaVOXmYmVllTh5mZlbZ/wMALtkyIIyoCQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef7fcecf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a phase diagram for 100 generations for the growth rate parameter 3.5\n",
    "# it shows 4 points because the logistic map has a period of 4 when r=3.5\n",
    "pops = simulate(num_gens=100, rate_min=3.5, num_rates=1, num_discard=100)\n",
    "phase_diagram(pops, title='Logistic Map Attractor, r=3.5', size=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pxlACDiq4vbWA+6pez6Wm1iJpS2CdiLhE0ueaxHQIcAjAuuuuW3DzZmY2EIp2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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef7f664a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a phase diagram for 100 generations for the growth rate parameter 3.56\n",
    "# it shows 8 points because the logistic map has a period of 8 when r=3.56\n",
    "pops = simulate(num_gens=100, rate_min=3.56, num_rates=1, num_discard=100)\n",
    "phase_diagram(pops, title='Logistic Map Attractor, r=3.56', size=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gQPaAdCn2ARWP/sB9pAskmplZL1Gvz2M82R0EJd0MHB0RDzcqMDMza115TxLc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\nnDzMzKwwJw8zMyvs/wMXCGIHX6Tm7QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef8117ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a phase diagram for 100 generations for the growth rate parameter 3.57\n",
    "# it shows n points because the logistic map has a period of n when r=3.57\n",
    "pops = simulate(num_gens=100, rate_min=3.57, num_rates=1, num_discard=100)\n",
    "phase_diagram(pops, title='Logistic Map Attractor, r=3.57', size=20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Now, let's create a phase diagram to show the logistic map's strange attractor when the growth rate parameter is set to 3.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DkPt03lzkCjc5ZWzZsmW/PoDxXua6nXwzy7mj5GHdU7h2VE+PIzKV+eA/Q4iO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\n/wQJqvnRqkrLHAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef8168198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a phase diagram for 2,000 generations for the growth rate parameter 3.9\n",
    "# the plot reveals the strange attractor - the logistic map is chaotic when r=3.9\n",
    "pops = simulate(num_gens=2000, rate_min=3.9, num_rates=1)\n",
    "phase_diagram(pops, xmin=0.25, xmax=0.75, ymin=0.8, ymax=1.01, size=20, title='Logistic Map Attractor, r=3.9')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Now, let's create a phase diagram to show the logistic map's strange attractors across the chaotic regime (from r=3.6 to r=4.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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fiMPq+yF9Mt1MRsaZW3sR0cxaBuedTrFzIm5rbxyWItKZGLOqdiVLlkLHrvTy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\n2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45EGkGLs4xedycWwY5MlkC4KhOn30OFtZYETSqtbjMFphriNXE80f8hPqrcRpBKz47m\nPAKkKl4fdgedLht2r5tRYVf+5l/V282F9mYMChV+QSReb6TX5SA+0IjH6+fNU6d4ccZ0theWcqCy\nmnvHjeKLcxc5W9fEbWOGMzw2hvu/3saU9GTeWbWA9w+e4khpDfOH9GfWwBSq23qo7ezhWEktd0wd\nydj0BN7dmc26QzkIoohSLuPlm+YwPevyR0H/SU6X1/P4p7tQymXcPXs0MwanEqzXUtbcwUf7z9Bq\nsvL6jfMob+/knf2nyIqP4pfzp6BVKdmRX0pRczt3TBzOw1v2YHN7eGHudPqFBfOzzTtYNWQgcwdk\nsLGwiISgQO7YsZVBERFYfC6Kuzr4eM4iHji8ndSgEHYsufmyOl8v3k+6IYIjHYUsjhvJia5CEjRB\nfN2wj8Ux45FI/dySuJhWZzuHOvaxMGYRDm8Pm5ve57rINajlKgTBgUamRyoBwd9KtelNojUTkPmb\n8Xry0CpCCAn9Fonk6gae9fH99JnLFegzlx+Ox3OR1u5H8YsiXnk8/ULeotb6HUppMCEBo2h3VNLi\nqqTH202afipFlov4BJH50atw+t1saNyK2e0n1ZDE1qbTGOVByCVKFsSOp9nRy7aGAoYFJ/LM4Mv3\nr9pQXkj/4DAEQaSws51BoRF8WXARq8fDmszBfJKTw5OTJ7Exr4jPcy6y7+6bOVlVz2/2HeWhKWMZ\nHhvDLzbtISE4iPdWL+BYaS3Fze2olHIemT2BQ0VVnK9uRCaR8ouFkymob+bWdzbh8wtIJfDs8hks\nHjvoqtetqqkLq9PN8fxqdp0uZWhqLLfMGcHvvjpMdXMXgVoVkwancCingpiwQGwODyEGDVFhBpKj\nghmZHkv/xKirupcoiuRWN/P0V3vptNh5YslUlo3P4mxlA/ev24rH6+f55dOZNTiDvQXlfHL8At/e\nuwqry8Mfss/x4LRxBAaoeGrnASo7unlj8Rye2X+Ypl4Tby2ez8fnzzE4KoqhMZH8Lvs4C9IzuNjZ\nSkFHG0OjI/iuuoxfjJjAfUPHXpVeu8/N+a4K3q/cSaxWh83rYGHsKJQyGXm9F5kXNYUBgZlYvSY+\nq30BOVIESReBMi8aqRoJPQwNugWjOg23J58O83vEB95DgHo4auXAq35GfXw/fSLH/UYAACAASURB\nVOZyBfrM5Yfh8eTgch7E4ilDkIbiQ49C0Z8mx3GGhD6NS3CT37MRnTKVKHUaAfIQ9rV+R6uzG68o\nkGEYBqKSTU0HsPpAL9NRb7cSowrFoAhiRuQQzG4Hy5NGYlAGfK+Ooq52Ohw2glUBVPf2EK7V8dzh\ng0ilUnasvJF7t24nKyqCzNAIfnvoGC/NmcGX5/Jpt9r47cJZnKtu4OPs86wZNZilwwfx4tZDuL1+\nnrp+Kh6fnw2n8nG4vdw7eyzRQQaGPPLWX++9dEwmz6ycdcW1qmnpoqKxiw+2niIqRI/N6SEkUHMp\n+F/XxsyR6dw5fwwnCmuoa+shNiSQ9IRw9p0tw6BVc7q4AbfXR01rN063F0EUGZeZhFQKy6cOZmhq\nLAGqy0+I7LE4eGfXCZp7LKRGh7J83KVeZA98upXSpg5WjBvCo/MnkFPfyoGiSlaNGUxqZCjb8op5\nbf8JvrlzBd/mFvJ1Tj6/XTCLHaVlmJ0unp41FZlUwpnGJoK0ap49cojlmQP5c3EuPkFgUFQEzTYz\n312/llj95eMvoiiyof4M25pyMCglpOjCKbfVsCJ+CqWWSowKJf30iYwLHcWBtm1YvF2YPA1EB4Qg\nEZ30uEuQCE1EKCPwCE3opD5iNFOQiFb0ygz0AVORy9OQSvsmVf4Q+szlCvSZyw/DZv0QuSIdqWIg\ntd1P0OEqw6iegsnbg0OQEa6ZjEGZjMvv4lzPYdx+JR3udrTyaEweB34UGOThRAVE0OIwYfH66HTZ\n8PoVaBRKjHIjw4ITWJb4/XtYFEVmblrHXYNGcaGlmYRAI2Oi43juyCGWpPdn3YU8npoyhUEREfz+\n6AmWZWUSqtWy6s/ruWX0MJRIee/oGVaPymLViMG8vOsYHp+PF2+YhSCI3Pz+evpFhvDGTQsI1KjJ\nLqnl/j9sBeDUy/ei/bsq/P9NS7eZTUcLUSmknCiow6BVEaBUMDgliiWTB6NRKa6qGPR/Y3d5OFFY\ni9frY0t2EQFKObFhRp5cOx24VJQplX7/dXttTj7ae4bNpwuYNCCJV26ex47cUt7clc20zGQeWzCF\nNrOVhm4TPkEgKy6Cu7/cxujEWB6aMZ4Vf/4WEZGfT53Au6fO0GqxsuXW1bxz6jRhWi2F3e2Ud3cy\nOSmBTeUljIuOx46HweFRPDd22mX/5y+qT1Niasbqt7I8YTTPFn7OkrixDAtK4HR3LgMCE7lousjE\n0OHUOaoweZqYHbEIk7eBIvM+5kXdi0/ooca8A6cvn2TdbDyeU8hxIPGVopfp0OruxGB44JrXvY+/\n8ZOYi0QiiQdaRFH0/RBx/xfoM5cfhtO5B6VyODZPGa22w7Tat2MImI9HVOMWbLS521HKkkjUjaDW\nXk2b04xSqqfK0UCL006cOo5p4VPY15aLXq4lr7eJJwYspb8hnpcKdjIiNOmyLV58gkCduRejWs2+\n6kr21FTyzLipPHFoH89PnsavDx6mxWrli6VLMarVmFwu8ptaWZ9TyIcrFrLuRA4nq+sZnxLP3AHp\nrPl4PVmxEay7cxm//GoPVe3d3DRpGAuGD0CluPRN1+vz43B7CdSqL7s2jR293PHqRmJCDdyxYDRp\nseGEBv6tz5XPL9DSaeaznWdxeXzUtvRgd7rpnxSBTCqlprmbHouDIWkxdPbaWDp9MIPTYnE43Rj1\nGsKC/tZXzS8IWOxugvQB1LR0s273OR68YSLdZjv9E79/5POb246x43wpH/3sBpIig2nrtbL1fDHd\nNge3ThmOXwSv3096VBhur49jFbVMy0jGL4jMeG8dnTY7Ly+cxeaiEhw+H/dPHM0dW7YiRWR6Rj/a\nbDYiDTqON9Xz1oy5fFqaS//gMJ4ZO+17NVWa23jq4lbuTB3P+5UHCFPLuSFuLF/U72FS2CCcfhsK\nqQelVEaVvYhF0fOICYihwHSceE0SVl8n40JXsKNhDSGKKOJ1EwgJGIZGkUCH6TfIRC86zRxUqsvX\nSvVxeX50c/lLxb6HS9X6uT9Q33+dPnP593E4tiCThiJRZNDc+zoWXy8CKgSpkXTj/ShlWpocFRSZ\nj1BlreH62HtodrYiiArWN+7E7LMhCBoSNAk0Os30uHxIJTJ2T3meaksnh1tLGR2WTFZw7PdqWF9W\nwInmel6fMpcnjuzllkHDaLFYSDQGIUVKSXs7/YKD2XCxmNEJsfTaHGzIK2LNyMFI/LApt4ih8dHc\nMGQgt/5xA0lhQbx/0yL0ASruX7eNlMhQHpwzjrd3nGB0WvwV04k/33eBisZObp83mqSoYOraekiM\nvNR6XxRFWjrNbD1WyND0WLIv1lDT1EV+VQshBg1SqQSNSsmEIcmEGrXUNXdT29ZLZlIkeRXNzJ8w\nALlMyoFzFTR1mJBKJXg8PkYMiOPWBWNIjLp0H78g0NptYf/5Co7mVfPRozdwurie6cP/dZKBKIo0\ndZu596PvuGHcIG6ZNoIP9p/ms6M5TB6QxKtr57EttwS728PqsUP4JPs8X569yLqbl7D4T1+TGhbC\nM/Omct/mHQyNiWZ3dQUiMC4uhiaXjY/mXc+GskKO1NcyMCKMPfUVPDJ8HPcO+f74y97mQnK76skM\njsTkcVDjaGRQYCyV1gYkUjfhSiNzoidyrucUne5ORgcP52jH14iigwxDFmGqIMyuIoyKWHpchzDI\nFOgV0eiVCUQZ7uXSx1gfP4Sfyly8wIg+c/n/L6Low+0+gVyeQE33b7B7i7GLCkZEbSKn80OUsnBi\ndRPRKaL5vPY3dLraeWbQFxxpP0S++SKF5kaM8mCsPoEIZSxGhZGdrbksiBjL9OjBvF58kIzASJ4Z\n/P3V1R6/n+s2/5nnx05nUlwSAG+dOYkgigQpNawvKOSTJYspbe+k2WxBp1Dy0t4jTE1LJlSt4Zvz\nBTw8fSwt3RZ2XSxj0fBMHp41npve34BaKeez+1bQbbWzP6+S8pYObpk6gsSI4H/S0Wt18M6mbDRq\nJdUt3UwflsrCCZmoFHI8Xh8Nbb3c++pGlHIFA/tFEmbUMSIzjv6JEeg16ivGSf43Xp+fxvYezhY1\nsPVYIb0WJzHhgdgcbtbOGcH1k/+WVOD2+jiYU8mLn+5n1qh0HlgygTDjP3eSFkWRV7Yc4VB+FUF6\nDZ89uILV73xNfZeJ+cMyeGT+JA4UVVDW2sXqMVlszC1Co1SxcuRAPj+fj8XtYnZGKm8cP8nSwQN5\n/vAh/MC2tat5aN9ukoOCONnWwMjIaM52NSEKfs6uvQ+j+l/H0Zw+D/m9TZzuLOe75vN8O/4+QlUG\nnsj/EKNcTZm9gneHPoXZ202RuZAWVzlhymD0cg3jw+fjFSzIUXGh6zUiVan8P+y9d3hU1b7//9rT\nMmmTTHrvPYQQek+k946oIKKCoh712Lti711sB0UURZHeOwFChyQkBNJ7r5Ppff/+CBaOoJ5zz/1e\n7+/yeh6eh8nsrLUmWXu/sz7VXabCUxGNmzwEnCbMpoMIdKPyevRf+tlf4xf+O8WlnyiKef/F9f2P\nc01c/j1Mpj2YzTtRq9+lQfMOAiq0jnak0mBKuvcikQRhcFjQOaDVYsRF4kVm4FxSVX0505lPtbGe\nXU2nCFOG02kzUq7twlPmjoA7d8WPIb+jgaWJWagUVzY9iaLIe7nHmBmXwstHs5mRkMIPBQV4uyp5\nLnM0u0rKcOKkQ2uiRa9nbloq879eS1JAAG/MGM9tX60nIzyYJD9/Pj5wgnAfLz5dNJN7vthEalgg\nN2f2o1d4IK3deg4XVTJn6JXbKHdqjdz17jqqGjtZNGEAd88cBkBLh45z5Q00tWtpbO2muKaFASmR\nLJ097Oc6YNDz8M8vrkerNyMABWWNZJ8qY8zgBPJLG0mJCQQEVG4udGoNjBmSRHJMMO6ul4fSag1m\nvtlxmuSoQEZkxPLUJ9sZlBrJyD4x+Pt4UlHfzuGCSo4VVRMd5MPEwUlkxP/2RLjxRCFvbz6Mj6c7\nGx5byPs7cqhs6aBXRBA3DEtnyZcbyEqM4fpBafwj5wyeShcWDOrD/FVryUyIYkRcNPWabkJUnty9\ndQtSiZTEYF/ONDXy8nVjeP7YAeanprPi4lnC3VUcuenOq+6xlWVH+a7qBI+mjWN/83nuSRjDyY6L\nDPRJoNnSxkDfHhF99eJLOEUH00OmUKA5gL8yFLXCE9Gppct0GqfYRYAyGjmdBLmNwWhcC7aLyOnE\nP+AQcnnEVddwjavznyz/4gR+ukj41f8B+N9WDfknronLv0e35hUsjlZsgh9mZysxvu9ztGkJ4IZS\nnoivsg/luvNo7VrsTjknu86S5NmXOM/erK3bwZywGZTq6tjRmItdFNDbBT7qu5Qmk5aJoX3+cP77\nD2zDW6FkWEgUe6rK8FEoWZGXy+TYeAwmO6+NH8f3+QUcq67j9SnjeXHHATQmM3cOGcC7+45y76gh\nFNe38MWRs6SFBPLdPTfyXU4++86X8daCKfh6uv3u/IWVTWw8Ukh1cxfPLxqHUxSJCFRzJL+C/JIG\nDGYrsWF+9E0MIzLYB7ms5/bQaI0cOFmCn9qD7YcvYLRYyb1Qh1rlTmJUAN16I+V17WT1i6OkppW4\ncH/aNXpMFhtVDZ2EBngza0w650rqadcYGJIeTYifisHp0Xi49QQWiKLI8nVH2H+qDKPFyuj+Cdw4\nri/hQWrOlTfw8tf7qG7pYvPLt+Lj6YbLP52cqlu6WH3oDKWNHdw6qj9eHq48+u0OslJjeHx6Fjd8\nvAa92cp3d93AJ9kn6DZbeGTCSO7+YQuPjB5OeWcnrx04zPy+vfkyPw9vFxecchGN2cTiAQNYU3SO\nPqFBHKqv5tMx0xkfnXDFn7Hd6eBIaxmBSg8+Kt1DvMqXGmMrTyTPJqe9kNnhPZ0vG4wN7G/dS7e1\nHk+5EhcBmo1n8FW446tQobMWMj7sM1ykcjoMezAYd6KSReAitaFWv4lEcvUoxGtcnf+kuCyiR1Ck\nwArgeaD6p/dFUVz1X1no/xTXxOVfx2FvQKN5GoNDi9xlME48CVLdSr1+O9W603TY2rCKIjbUdJjM\nWBBos2oJUqTiEOQY7BZqDN3MDp/I/uY8znbVIUfBwTGvcKCpmAClJ73UoVed/2hDDXfv28wtKX1x\nkykYHhZJdlUVZR3tPJ81mjeP5DAyMopnd+7n6bFZNHVp8fN0J8HXj7vXbKZPeDAjoiM4eLGCToOF\n6X2S+HTPST6/czaxgb7YHc6r9lVxOJ18sukYq/fmkhoVyLO3jCMySE1tcyePf7SNxvZupo7oxR0z\nhuLpfnkU2YQ7l2OxOYgK8WHskES8PN3oFReE2eogMer3S9r8hN3uAOD4uSrOlTRQ16LhZGE1oigS\n5Kti1KAEZo1Jx1/ticlsZeeJYtbvz6OqsYvoEDWfPXEDri4yDuSW89I3+9CbrNw3axi3TBx42TxO\np8jtH62lvKmDh2dkkhDmz5ubs+kTFcL0gSl8eyyfpaMGY3c6OFvTyMS0RDoNRjYVXEDt5srr2Uew\n2h0Mig1jb3kFb00cz0tHD5EZGckFTTu+rm60WfQ0GbTk3HgnKpcrn1CtDjsvFWxjZGAcIiIjAhLZ\n2niU72v38XzaImoNjRTrLiCXWPGQuOIQdHjLFNQajmEXdYz0n4nWnIuHPJhU7+lcaH0QGVWoFb0I\n9rofhSwImSzp34rY+7/OX9bnIgjCBOB9LomVKIqv/dP7kcCXgD/QCSwQRbFeEIQ+wCeACnAAL4ui\n+MOl7/kKyAS6Lw2zSBTF/N9bxzVx+dexWvOx2uvo1G9E52ijzVKPSjmCUNX1uEuTyWn9EJksAKPD\nRoW+jGDXNETktFi6ye0sI8gllEazlnSvdLY35mFHYGbQUG5PGMfF7iZ8XTxIUF09wimvpZGjjTWc\nqK0jLSCIzPBo+gWHsDrvHIerq3ls5Ehe3neQSYkJ5NU1kVNRzdY7F/Lo+p24ymXcnTmY21asIzUk\nkMenZPL3VdswWqzsfXoJBwrLqWzuZOmE30YStXcb2HWymNPFdQT7evLYTaNobtfx0srdOJ0iydGB\njO4XT2pcCAAnCqp47ct9jB6YwL03ZfLDrlyULjKmZaX9pk2xwWjhtU92kxQbRGyEH0aTlZ2HishI\njWD+9AFU1LRhtTlIig1EIhEua5PcpTWSc7aMzdlFVNa3Y7E5GJoexeD0KGaN7jkFfrQ2h/2nS0iK\nCsDd1YVnbh/P1pwiXlq9B4kgRamQse6FW/D9VTTbT36Y4yU1DE6MZEFWX5at3YtUKuH9W6bh6iKn\npVuP2l3JgeJKtGYLghRKWtq5a8Qg5n/7I5OSE+gdEsj3BYXMTEtm/cUi+oWEsLakiOuTevFG7mFi\nvXzYM/e2q/6+PynJRgIcaS9iUkgfbooexrragzhxkq6OpUJfTrWugnztSR5LfJIK/UkKu46Soe5H\nZtBC6vQ5lGjWolZ4oMSOm9STQPdxtHTei4dEhtrnY1xc/rjp3DUu5y8pLpfGKAXGAvXAaeDGX1db\nFgThR2CbKIqrBEEYBdwqiuLNgiAk0NOUrEwQhBDgLJAsiqLmkrhsE0Vx3Z9dyzVx+ddwOo10a57E\n3eMO2k37aNatx4Irfu43IpMGUNC1D429HqU0CXd5GG4yHzqtWtqtJix2OK8r48bweWQ3F+IiVbCr\nuQgZUu6Kn87YoDTULr/fknZHZQlaq4UZcSm8ceIwi9L68lV+LiPDo3j10BEeHj6UkpYOLrS0snzW\nVNblFeHv6YZUFHACUgTe353DoLgIMuOjuefLTUzsk8QDE4dzvKyW0Wmx2BxO3JWX+zSOFFSy6ch5\n0uNCmDkiDVcXOW99s5+cc1UkRgVy3/UjiAz2oaaxk1dX7OHGif3IK2lAKsDUrDSiQn1/Hqu9S4/B\naOG9Lw9S19RFe5eeAb2jOJZbiUIupU9KGDKZlDMFNYQEevHuU7N54cOdNLR0ExPuS1unnjtuGMaJ\n/GqGZESj9nIlJb5H0Gx2Bz/uyeVUYQ2FpU3ctyCT6df94i9as/sseSX1TMtMQ2+0MGFIMg98uJHD\nBdUIwLv3TGNEn8t7zn+wLYcfcwrISovhpqy+PLBqK3eOHsTMQb0Y9/oKfDzceX72WN7YfYgXpo8l\n1FvF2txC0kKCuH3tBuJ8fUgJCyTRz4/1Jec53djAZ1Oms770PN12CzkN1eyYdQtJV+leqbeZqdK1\ns7H+FNWGNr4ccietpi6eK/qS26Mn0Wiu54L2AoN90hgZkIVTdFBnLCXao6dDqMneTXbjw6gVYXhI\nXRDELuJ9nqKmOQtv19G4Kfvg7j7/z94C17jEf4e4CMCzwGeiKDb/m4saAiz7qTeMIAhPAIii+Oqv\nrikCxl86rQhAtyiKqiuMdQ6Yc0lsvuKauPy3YrOVotMtxy7xI8D7GbKr+6KQBqB2n4nOriPILZNW\ncxUywY82awtOlPi7hNNqaaPR1EW1vg0BGac6K0nyjEYucaOvOpk5EQORSf7Ybdds0GF1OIhQeXOq\nvp5XcrL5euYcbA4nG4ousGRAz16v69Kw5mwBj4wewd9/2E5eXSOfz5/JQ2u24e6i4OXZ47hrxSZi\nAnz4ePEMFr73A55uLnxy56zLkg9tdge3vvYD/l5uXJcRx7ThPaVDPvj+EDKpFB8vN24Y15fK+na2\nHTrPhn3n8PJ05cGFo8jsHwdAU1s3h46XcrKgBrvdyaTrUtHpLRRXNhPk54lMJmX+9AGYzTa8VFf3\n9ZjMVto69NQ3d+GtcuWH7bnkX6inW29mYmYKj94xlqKyJlLjgxEEgW6dCUEioLpCPs6q7adp7ujG\nZnOyYGI/zlc18dq3BzDZHNw1bTCLp14eJrzqwBmaNTr8PN2ZN7w3BbXNrMw+y5LRA1i2aR8Rfmre\nuWkKbooe/82CVT/Q2K1jSFwEuQ1NbF+8EAFo1em5d882hoVGUGfoZl9NJcEqD5pNOnJv/ttVzVPP\n5m3idHsVj/Qah0rhSp2phfOaUjykCjJ8Yxnim46L9LfJrLuaPsJNIuIiSAhSJlCjXY1UbCBctRAf\nRRga7Se4y8Px8n4WieTPtXO4Rg9/yQx9QRDmABNEUVx86fXNwCBRFP/2q2u+A06Kovi+IAizgPWA\nnyiKHb+6ZiCwCkgVRdF5SVyGABZgP/C4KIqW31vLNXH513E6jXSbdmF2SijvepN+QWs42vomrtJg\nBKk3TlRYnAI1hkqqjI1EuqUT7hrN8c58zmnq8JX5onbxp0KrYXLoIHY3XWDV4KW4ya+e6e5wOllf\nVsSk6ESUMhkyiYRtpcV8W3iO72ZdjyAI5NY3UtTcyoy0ZF7bc4jMuGiK6lvIr2vkvusGseTLzajd\nXNn/xBI+2nWMpi4tD04ewf6CclLCAgn2VV3myDeYrTy0fAsltS08u2gcg1OiOHm+mhEZsXR2G1G5\nK2lo1fDqij2U17WTFhfCrNG9yRqYgCiKFFe0sPLH4xzNrUQukzJmaCJpSaFMH/vbyDNRFBEEga5u\nIy3tOnJOlhAd7o+7m4KE2CBEp4ivz29DiB0OJ4UlDbi7ueCqVHDLI18T4OOBv487E7NSmZj5Sx2t\n7YeLWLHhGEtmD2XSiFTMFhs3PP01RrOVeWMyWDipP/d/uJn8sga8PZVseHERyl/1nClrbGPeW9+S\nFhnE36YM47FvdzK6Vxyp4YEcKatiakYKWckxLNuyj2FxUXyUc5z3Z08myrcnfFtjMnHX5q3cnNGb\nl3IO0SsggL11FYwMj6RS38kdvQdwc2rfK/7+642dLD66itlRGSR7BVPUXYlTtNNgbubmqDFc0FYw\nPmgoMokchUTOeU0u8Z4ptJoraDFVoJQKaCy5SJydiI5aRNoZHLKFysYhqFxSUbkvxM19+h/u/Wv8\nwl9VXObScyr5tbgMFEXx3l9dEwJ8BETT0wVzNj0i0n3p/WAgG7hFFMUTv/paM6AAPgcqRFF84Qrz\n3wHcARAREdGvpqbmv+mT/v8Lu70am60YpXI8ufW9cVX0xeJ0xdUlg0LNZmJUs/BT9iPQNQGl1J1O\nSxtVhkp2Ne/horaeu+MWo7WZOdZaTIxnKKGuQRxvq+K6wF4EKL1I9Aq66tyH66v49NwpMnxDqNR0\n0S8ghN0VZfw490YAmnV6tl8ooX94CPl1TTR16/BSKDhQUsntQwewbMNe9GYrn986kyfX7OaxqZmM\nTovHbLOxO6+U2UPSLjuxlNW1cb6qmRaNjnnXZWC12vlu9xnaNAaeXTwepULOhn35vPXVARQKGbdO\nH8TCaQMRBIGNu/PZtLcAURQZPTSB+qYu7ls0Ck+PnhOEzmAi+1gZNpuD5tZuHA4njS3dDB8Yx5GT\nZdQ2dFDXqMFVKUehkNE7KRSH08lDS8fxyAvrSIwLoq6xg9TEUO5ZlIXTKf5c1r+6ro0DJ8pYue4E\nCrmUgelRRIWouXP+SDQ6Ex9+m02X1sTwvrHMGpOO0yny0pd7KChv4J65I7iuXzzLvtzN1uMXcJFL\n2f3WHXi6/XLyWXeskLzKBowWK3+fNoIZb31NRmQw908ZwbKN+/jbmCEcqajGTSFn4ZC+OBFp0ekx\n2e0cr67lVGMdZxubuC4hhryWRhZn9KO4qw21myu7a8pYNXEO8Wq/K+6BdTVnKOxq4Pk+0znfVcPW\nxpMsiZtApa6a98tWkxXQm2RVHEP9BvJ2yVOEK8NpMOXhIRMY5DuWJv0ejPZylIKJeNUswlTz6Na+\nj9TZCc46AgL3/5fvkf9L/FXF5Q/NYv90vQdQLIpi2KXXKnqE5VVRFH+8yvdkAQ+Lovi7pXSvnVz+\nPCbTfvTGnYjSIDosZ4lWv0W9cT8KqT9qZQZnO75FFNR4yAJRSP3IbtnFIL+xGGx2NjRsZ7B6KBd0\nTejsJvxdArkpMgtRFKg3aLCLTsaFpF51bqPNSllXB5/lnWZ0RDQx3n406rQs23uAL2fN5Pk9B0kP\nCcJstlPW2s47syYyY/lqhsdF0a7RU9bcwTs3TuKNzYdxOp2svvcG7vxkA3OH9Wb2P1Uy/nhTDl/v\nOssD149k3qgMjhdUsS3nAlNHpJKRGIbeaMHLQ0lxVSurtpzg+b9NxmS0cqawltzzdUSF+XKhoolH\n7xiL5yWT1MGcYlo7dEwc1YsPvzjA/qMljB6WhL+fB2lJoXh5uhIZ7osgCCjkUmw2BwqFFIez53Ti\ncDpRusjZm12ERCrhH6uPoPJ05eY5g1nxXQ6zJ2dQWdfOjPHpxEUF4nQ66ew2cuuj36A3mImN8Gfe\n5H6MHZFMZ7cRu8PB85/sxGqz88ETc+nSGnFTKvDyUNKtN7Pr1AU+2XwCm93BN0/NJ/ZXPqPduaW8\nvvEAw5Oj6Z8Qxg9HCxiRHE2wnyerjuSy9LpBvLjzAA4Rnp56Hct27GN2ei9ONNQzMCKElXl5xPio\nQSEQ5OFJi1lHjVaDl4cSf1c3tsxceMU94BCdbK07h91pZ23dcRZEDaKfbwyfVWwhxNWDob7p7G/L\nJsxVTY3hIja7BqfQxeKYl7CJOpSChMNNjxGoDCXcfQgqRRJWezE+rpOw2wpQul73H7hL/u/wVxUX\nGT0O/dFAAz0O/ZtEUSz61TV+QOclc9fLgEMUxWeFnkYMO4Gtoii+90/jBoui2HTJR/MuYBZF8fHf\nW8s1cflzOJ16Ojtuxy7xQyZLxiQK2HGhwXAMpSINqcQXN1kUBoeBfc2bsDoVSCUeNJo1ZHgPJ7ez\nDKnEBafTlelhwxnkm4qn/M/lF5xsqiPdL4jVRfnEq/14LecwPq6uTItL5kx9Aw8OH8rB8ipEu5MN\nBRe4d+QQlm3Zz4DIUMJUKtafLuL+8cM4erEaqSBw1/jBFNe14eXmQq/IYLx+9Zf5iQs1vPHtAXrH\nhbDs1vHsPVlC9tkybp40gKSoQI7lV3HgVAmTR/QiIzkMu93B6YJqXvpoN07RyTtPzSEhOgCpVILN\n5uCbdScovNjA+dIGgv29ePPZOXh6KBEAV9ff9hRxOp04nSIGkxWJADa7hokhOwAAIABJREFUEw83\nBQrFlbP4jSYre7KLCAtW8+DzPxIeouammYMY2j8GtXdPcMT5ska+33qW47lV9EsNY/6MAaQnh/PB\nt9kcOFlCp9bES3+bzMj+8VysbuGHvXksWzKByoYO7n5vPZ06Iw9eP5IbRv1issq5UMV9KzYTHaDm\nrklDeW1zNgtH9uVoZQ3FjW08MT2LV3ce4rHxI3l8624sTid3jRjA1oulzEhL5KOTp7hj4ABm9Urh\nWH0NTx3ZT7KvPw6pg8/HzCDK+7eVEAAudjehEKQ8krsaH4Un6X5BpKhCqNTXg8RGX+9ETM4udjTu\nYHHUYmpMBTQaz1FnyuXe+NWYHA2oXeIRRTMXWh/GVSpHKRpQyGMIVD/zp/bjNXr4S4oLgCAIk4D3\n6AlF/lIUxZcFQXgBOCOK4pZLfplX6cmtOQzcI4qiRRCEBcBKoOhXwy0SRTFfEIQD9IQuC0A+sFQU\nRf3vreOauPw5bLZKTKYNeHo+hCAI6MzFNBn3o5CFEeE5mQua7UgFLy7q8jHaTbTbLFgcErzk/hTr\nGqgyaHCXuOEm8+XzAY9Qom0iUOmFj8tv/QiXzet08PKJbEaFx/DS0WxWT51Li8HA8qPHOVxdw5YF\n83kz+yhPjcnkld2H6BXsz98yh5JTVk2zRsvLmw9yz5ghnCmrp01r4N1bpuKhVLDl1AUWZvW7zBT2\n3o+Hae/Ws3B8fxLCeyKXdAYzFpudspo2Xv7HbnrFBbNk9lBiw/0xmqzMuPMz3FwVzJmYwbzJGcjl\ncvZkF7H8q2w83F2IifQnMTaIsZnJBPr9Eo/S1KKhsqoNm91J9pFiLpY2MX50L3bsKUQmFbDanKg8\nXdDqLOgNZhwOJ1PGpzNv1gA+XXmIOdP60q0zMbBfDC6XcnLMFhtOp5N9h4sJDfbmizVH8fRQcvct\nmUSG+VJY0sj2A4XsyblIdJgf86b0Iy0pmAfe3EBKTBBjByczIC0Sq83Od7vPYjBauXP2UGY8uZJQ\nfy+mDUlm+shf/EVvbshmTU4+makx9IkLZXd+CXMG9+JcfU8PnMWZA7j/h22MTYnl9QM5jEmIIchH\nxcTEBFbl5bK/spKDi2/lxvVrEWVQrdUwIymJIw01nLn5nqvuic9KssntrOSsppJlvabh5+rOrqZT\nKKV2RgcOppcqjldLXqKvdy+6rE1IRBNJXqmEu8VQZziNq0Qg1nMylZpXUMmjwV6IDPByHYqb21wk\nkt/EDV3jCvxHxeXSw/tuURSLr/Beb+BrURT/OL36L8Q1cflzdHXej9FWhcJlOE5ZGuVdb+DtNpNa\nwxk8FSn4KDMo0Z1lgM/1yCQKJIKSFVWfcW/c/TyQ+yZtti7MdjmLo6cxLWw4d576gttiMhkZmPyH\nc1sdDh45sJPbe/ejd2AwdqeTud+uIc7HB9EB944YwtbCi0gFCThENEYzT0zKYuOZ8xQ3tVHT1MnJ\n8npev2kiZ8rreWRmJnLpL5FpDqeTe9/bSJCvB+P6J+HuIudkUQ2Lp/dETG0/UsTLn+/CTenCZ8/M\nIzbCH+hJNHzni33MGNubuKhAGps1vL9iPx2deto69dx72yjGjOz5fKIokp1TwuncanKOl6A3WAn0\nVzE6KwWr1U5Lq5bbFw6npUWL2tsNhJ6TjabbRE1tBy1tGjKHJeGqlPPauzvJHJHIJysOEhqspk9a\nOOFhPgwbFEeAvycSSc+p6btNp9iwPY/k+CBuuX4ogiCSFBfMibwqHn5lAxKJwL23ZDFrfDplte2s\n3HQClbuSp+4Yz/HCavJK6qlq6OC5JRN47stdHDpXybOLxjFt2C/myw+3HyWvsp6YQB+6rVaOl9Tw\n4W3TUbrI0ZktlLS0cai0igfGDuPF3dnc0K83M3qnYLJauX39Rlr0eppseiI9Pel0WEhQ+yJTSOgT\nGML9fYdecT8cbC7mXGcd3XYdQ/xiyQxM5tPyzbjLXFkcO4XNDTtxlyop0RUgwcgA9TB8lb4Eu0ZQ\npT2MIFgw24qwODqJ8RhLq/YjYv0/Ra95BKXrZDw8rmyWu8bl/JfFRRCEacBP6crrgMeB8itcOga4\nWRRFz39zrf8jXBOXP8ZsOkSX5jGsog92aQguymFIpEF0WsrQ2fREek7CXe6PxelEQMa2ph+YEXoz\nDaZW2s2dvFu2BrsdrMjZOvw1NDYTjaYuentH/Knw4/lb1hLs4cmb101AEAQ+P32aaG81zd06TtU2\n8Pb0iZyrb8Jud5BX20S0v5o1R8+xJGsARy9U8sPxQpaOGURKaCBPf7ebbU/d+rOT2mZ3cOpiLesO\nFTAnszfnyxo5X9nMoNQIFkzsSax7/L0tqNxdePz2cXy+5jC5RQ08//fJBAf0NL36dv0JWjt0tHfo\n6d8niqH9Ygi89F5TSzdbduQRHenPxm15+Pm4ExXhR0y0P1nDE/9LmeHd3QZa2/WUVbRwOreaxiYN\ngkTg/qWjsdkd9E4Nx+FwIgJPv76J03nVxEX58+kbCzCZbXy35RTfb80lJFDFa4/NRBB6cnBOFNYw\nY1RvzFYbL6zYTVyYP0umD+azbSfQm6w8cmMW3h6/mDQfWbmVPefKGZIQjoenEh8PN5aOHcwnB07y\n4IThPLdlH0arjWEJUazPP8/7cybzwr5swrw8WHXuHMn+frTaDAwODWN3XQVjomOQyaQ8MTCTQPer\nn2yr9K1sqj9Ll7WDTms3C6Ky0No0NJpaUSvkVBtL8Ve44ypTYLS3MTX0dk62fYqHzJck1RjyWp/A\nUyrg79ofb+UQBNsxzKY9BAZdc+z/Gf4T4vIecN+llyI9Jqer8Zooik/+y6v8H+SauPwxBsNadPrV\nmJ0mgvxWUKddR5l2PcnqxzCJNrxdEvFWRJDblU2XVUOnVU+1sYWFkbdxsqOAXc0naDYZCHcL4YO+\nD/BMwY/cFptJitfVS+n/xDsncvj83Gk+GjuVMTFxbLlwkY0XLtA3KISvT+ez8oZZRKq9kQoC1729\ngvGp8chECeUt7dw/dihL/7GJIXFh9AoP5nhxDSvvm/fz2DqjmbveXU+wj4pXlkzisY+2cuxcJTeN\n78/cUb356IcjTBnZiyHp0VTWtnHLw1/jFGH8yGSevHsCpeXNVNS08fW6EwT4q3jnubm4KGR0dRmY\nd9unuLspeeW5WZw6U8mY61IIDVb/PLfT6eTkqUq8vV3xcFeSm19DRJgPjzz+A0GBXnh5uVJX14Ha\nx4Mhg2OprGwjL7+G8DAfZs3sT2SEH4mJwSh+Vaamqbmbi6VNNLd0s2rNUYYPjic5MYQZk/sglUpY\nvvIgNQ2dVNa0ERcVyAuPTqOsuoWPvzmCCKQnhbB0/kgOny3nTFEtydFBjBmSyFvfHKCysYN75g4n\n2M+Lm15czeCUCF5eMvnnuYc/sRydycqnd87kWHktJyvq+PrueSBAi1bH0m82ISIyqU8SfcKCWbZ7\nP3VaHWpPFwx2O6MTojnd2IBDKqKxmHlg8FCaDFpeGDb2d/fHnqYCznaWc7StkIkhaWhsGnxd3CnS\n5uKjUOEmEbHThadUZIDPaFRyV6Lc0znT9jYORym+inAEZxMSuon3eQWDfgXe6jeQSH4/mfcaf15c\nfq/f56P0OMcFoBKYBfxzNWQHPUmOun93odf4a+J0GjEZ1+LpcS8+LgkoZJF4u2Xi0K7jQtdGfN2H\n0mU9jdZxBKngRaAymiPtG3GRKHE4oaC7kjCXMBzODu6Mm8XamhOIIn8oLK1GPb5KN4401BDj7cuY\nmDjaDUZeOHCQW/v3w2kXWTigDyeq6qhq72JCcjzzB/XBVSJlS95FZvdN5cGvt3Pz8Azumzyctm4D\ng+IjL5vjs60nqGnW8OzCsXy+8RjnSuuZMzqd0f3iufvlHxEEeGjhaPbkXGTF9zk4RZiUmczDd4zj\niVc2cvZcNXHRAfz4eU9l37qGDp57ZQvxMQHYbA6CAlQkJwSTnNDT5/7s2UqCg9Xk5dfw7vu7EUWR\n/v2imTC+x48RGOhFfFwAw4bEExMTQGVVG2q1B5ERvrh7KCm6UI/DKbJvfxFOp0hzSzdGo5WoSD8m\nTOjNhHFpBAclAZCeFsaJ01Vs2ZHHzr2F3L90NH+7bVSPKe+zvew8cJ5Zt33ME/dO4MNl1/PR19ls\nO3AeL5UrM8amIxEkfLjmEBX17fz9pizueX0dd7++jk8fv574MD92nSol2NeLv80aDkD2i3cy/93v\neWDlVj5cMp11Jwp5d/thBidFsvd8OZkJURytqCU1MIDjVXXMTkvhvaMn0egtJAb7EermyW6zCVeJ\nhHBvFeHuKv5ReJoolZrb0q7+/MpQR6GQyHA4bTSZtfT2jmKQbxKd1mYajPVMCB6BU9ThEE1o7G0Y\nHTZiPAYwOPAxXKReaC3FiE4DGtNWWrvfQCGImE17cHOf+e/dMNf4DX/W5xJJTwdK23//kv7fcO3k\n8vvo9asw6L9E79ATHXwKBJE63TZEXGg2FeIQ3Onvu4gCzVFcpB7UGurY3XwQp+iKIHGly2LHWxZI\nZkBfum0WBvumUKZrJdUr7Kp5Lfuqy3jm2H5uTuzD3qoK1s++CYkg8Pdt2+kymVBJXOgfEUpOWQ19\nI0Jo69JztKKWNYvnMeuD1Vw/II3P9pxEFEVOv3rvzx0kf82zX+wixE/FzBG9aNcYaWrvRioRiAhU\n88aX+5DLpbz292k88cZmGlq6CQvy5rVHZ6DpNvLjtrPsOXSBrCEJPHzXOLo0Rk6drWLVd0ex2hy8\n+NQMkhN7suStVjsffbyPnJwStDozUyf3Yfr0fuzYmc+gATFkZERdVifsX+H06Qq27cintVVPd7eB\n55fNIijQix/XnWLunIF4erpisdpZ8+NJJozphVQm4VBOKbOn9aVTY+DFd7eTf76OMSOSeeSe8XRq\njLz44XacIny07HrKatt4ZcUeJMAHT87l5S/3YjBbef3eqby55iDnKpr48P6ZhAf0ZLabLFbu+XwT\nXm6uLBk3kKe+38X0/ilYRCeZyTHsKirlQHEFL88cR2KQP09s2cWW4lKCPdzRilYGRYVypL6Wp0dm\n8kVBLlFqL6yig0/GzMBD8dvIup94Mv8HBBxc1FUxMiABs0NPh6WDbkcjd8XeRrCrN1sa1nBj+B0U\ndO/ESx5AL+9ROEU7Z1ufJEm9FHd5KK2at7CbTyEVKwkMOoZE8r/Kwv//nP+EWWw/Pfkif7p3iyAI\nA4A3RFH8yweOXxOX38dk2oPOsJFuWzMSWRIm0YINFTX6fDL87yfS8zo01jaOtm1leMB0XrrwEqII\n98Y9xHsl35DqFU+nzcKDCfNYX3eadouOZFUE/koP0tRXPr18VnAKjdnEmPA4NGYzge4eiE7YXVaG\n4IS1eYXcPrAfG/KKmJmeikKUYHM6OHi+gkUj+vPE6h3YnCIf3zaNESmX18lyOp1MeeILJILAa3dM\nYcWm4xRVNrHpzcVUNbTzzIfbuWX6IEb2jWXxE6tpadcze0IfHry9pzf9roNF2B0OsoYkYrc7ePXt\nHRReaOCeJVkEBnjRPyMKURR56ZUt2GwOvL3daWruIiLch8ED4xgw4JdOlqIokn2gCP8AFd+uOore\nYKFf/2hKSpooLWnG29sVvc6C2tcNk9GGRCJh0W0jcDpFQkK8SEwOu2wsQRAoKqrn4ce+x0UhIyzc\nl6lT0hl/qSLAufN1vLt8L/GxAcybNZC4mAD2H7nI+u25FBY3Ehnuw0cv3cipwhpG9I+lpV2H0Wzh\nlS/2IorwxoPT0BmtvP/9IZbMGIJSKedMST2J4f4MSuk5FeqMZt7ceAjhklCfq2lk/og+fHrwFN5u\nSiRyKZPTEnFKRF7elU2X1YjB7mDxoAxONTZilzoo62onxs8XmURCrUnDzNhknhk6+op75XhbBeXa\nFtqt3bjLJXjK5Ig4ONx+jAjXAPxdPbk18gaWl7+MKOpwkcpYGvcqFzRbaDfnEezaG5XCD295ONXt\njyB1XsRT6oe396solVcOKLhGD/8Js9g7wCZBEIqBNcAmURQ1V5goBBgH3AbEAUv/vSVf46+CKJpQ\nKNJRSYNobr0LqSBHrshEZykmxWcRoe49N9+Whs8xOQx4yX0RRQhShrKv9TAGp4mC7lqSVPH8WH+U\nYm0bsR5BxKsCCHe/ch4DwJ29B7KrspSc+hr6B4WS39wEDhgSEUFBQxML+vchr66J0YmxHCiqIC7A\nB4fFQbvBxOpDudicIkMTwhiSGP2bsYtrW+nWm1kyZSAWi5WsvrFMHZ5CWW0r9c1dLL1+OH2Twrnr\n2e/p6jZxx43DmDgyhQefW8t1wxKZOi4dgH3ZF1i78QwdHXpmTc9g4tg0HA6RwzkllBQ3cfxEOX37\nRLLgpsEEXHLud3UaKC1p4u03tlNf10lAoIr6uk5S00KpqW5HIe/JyA8NVWMwWAgJ9qaxUYOnSklV\ndxt6nYH9+4rIO1uNyWRDECAszIfEpGDGT0qnT0YkqalhbNn4d7ZuzWfT1jO8/sYOvv7mGAvmD2Xi\n+N58/M4C9h28QHNLN2pvNzJ6RTAoI5qJCz6kpq6T9TtyWThnCOW1bazZfIZJ16Xy4eNzePz9rRw6\nU8H4Ycn0jg/hvrc2cPfsYVjsdlZsO0F4gDchfl54uim5YUQ6/9h7ioGx4Ry5WMVjq3eyaFR/ajs0\n3DikDzbRSV1HF6II05OT+aHwPJUdGi62tRGi8sDmEAlSulPS3cGNiWlsrLjIvX2HXrFrZYS7D2qF\nGyXaBvR2E3bs3Bw1Fqdo4qKuHJNBQ7m+kiiPeE51HOLG8EXo7F2U6w4hQUIfnwzOd7xMtOdUTPYm\n3AQlTkkEUqn/f+IWugZ/YBYTBMETeAC4G/ADaoA6wAh4AWGX/mmAD4D3firT8lfn2snl6pjNBzEa\nt+LmcRtyWQzlne8QoppDp6UOkOIqj6bD0nNT1xhq8JAH0G0zYhdlHGk9j8lup81iJkgZSoJnOAqJ\nG7HuIUR7+tH7CqcWh9OJzemkStPFGycOc2+/IUR4ebOrpJQtxcV8M3cOLjIZoihyrKqWLp2R3NpG\nxibHs/lsEXMGpmEwWll9JJcpGcloTRZuzvptrSq7w8mLX+zmwOkyDnxyD3KZlKqGDrR6Myaj5efS\nKY8uHUdTk4by6jbyCmt55O7xdHUZOHW2CplMgt5g4aa5gxCdIrv3FOLvr+LEyXKyMpMYOKDnxGSx\n2JBJpdTUtnPHbSvw9nbDVSlHFEUefmIqShc5iUnB/1LUmEFvYc+ec5SXtnChqAGrxU5rqxZRhKnT\nM1iwcDhqH3ckEgnffX+UpiYN+w8UExaq5t57xpKWFg7Atl3nECQCk8f1nGzOnqvhgWVrkckkfP/J\nHXR0G/hy7XHqm7v44rUFrN5+mnMlDSx/6npufeE7Qv28uGliP46er2b1nrMsf2AWvWJ6/EtlTe08\nt2YPT8zK4rl1+whRq+gfH8b3Jwt4avoocsqr6RMRxHuHjvP6jAncvW4LoT6elHd1cvvAfnxXVMAz\nI7Mo1XSgsRnpMpt5b9TVi22c19TxYuEm3u23gBA3NQ7Rgcaq47OKlRjtJkLdVKgVSvzknngr/PCW\neVCi3UJW0N/psuShM+dgMucgEZvwdelDmP9313q8/AH/6TwXBT0hx1lAFD3C0kGP0OwHDv5v88dc\nE5cr43A40Hbfh9GuweBoxSGJwtt9EsEeM3GKDgz2DswOIyXa0zSZm5BKvLkuYDIaq47s1tPsazmN\nzubEV+HDk6mLiHILoMWsI8hVddXw411VpZxvb+GLvLOk+gXQPyAUtYsrX57O5aFhw1ibf55lY6+j\nWWcg0d+Xd/YeZf6gPqw9UcCMfinkljcwrk8CCcF+GMxWHE4nKrffVgTecewCJwurmTQ8FSkCMWF+\n+Hi5YTBa2J5dxO5DF/ji9QVcKG3i+be3MmdqP+ZO6UdpeTOPL9uATCZh7VdLsdud5OVV88FHe3A4\nRZ55cjrJyT2l700mKw/c9w02q51bbh3JkGEJrPvhBOMn9cbH5xdbvt1ux6C30NLUTcnFRs6eqKD4\nQgN9B0TR3m5AqzHQ1NDFmEnpGHQmwsN9GT+jH35+l/sDjhwuZuf2PORyOQ31nQwaHEdHu5aFt2US\nEqKmqqqV9RvPUHi+HrlMyv33jSOtV4/I/GPVYTZty2XVp7dzMq+a5SsPkjk0nlvnDSO3qI6Xlu/C\nT+3ON+8s4uyFOg6fLefZpRP5eF0OWw6f5/X7pvLq6gMoXeR8eP+Mn8O8z9c2ExPoS4tGyx2fb+Du\n8UPYnH8Rf093/NXuWB1O7s4axKHyKl7al43WamXBgN40aLXUm7QMC49gaGQk59qb+CD3OIdvWEKY\np9dV9+yr5zeT4hXChoYjPJQ4g3ZrB4dbT3BX7A2srP4cERNWZycuEitecidDfGcjQ4dTNJKgmkZ5\n52soBSdBqnl4KAf9azfM/0H+shn6fxWuicuVsVhy6eyYj0MyAIcinjr9djxdRpDiv4xK7VEuanej\ncklFwBMvWTAl+jKqjY20mc2YHVIsDgfp3r3pttoZ4JtIX59YPio+yLyogaR6h1xxTqvDQUFrM2+c\nOMSI0CjMdgcVrZ14urhw98CBnKptIMHPF63ZwpDocIoaW5EgUNPeRVVzJ3XtGp6bOxZP18urK1c1\ndVLb0kVmn1heWbmXXccvsuLpG4gIUrNh3zkGpUURG+7Hs+9uY9HswcRE+JF9rISqug6G9oshJMib\nZa9uJiEuiMAAFdMm9uH4iVJy82o4faaaGdP7MmFcbxQKKbu2n+PixQbaWrU4ndCvfxRz5g1GLu8R\n1Mb6LqoqWmht1vDF8n3Y7SIpaWEo3RR0dRjQao1oOgyk9A5DrzXT0a6lW2MiMMiLluZuREDl6Yrd\n6cRsthIZ6U9a3whuvj0LL++eis51tR3U1XbwyoubEAQJo8em8veHJgJQWtrEa29ux253snLFYqRS\nCWfPVfPuR3txdVNww6wBjBiawO7sIj7+6hCDM6KYNK43y97fgUwm4YcPbqexrZuDp8qYOTqNldtO\nkRgZSEJEACt3nsZFLuWx+aNwvdQ6+cej59h6+iJLJwzirW053Dl2EK9sPcDCEf3w9uj5HB1mI2o3\nVz4/eZqJSfH0jQgjxkfNg3t28OjQkWyvLGFsdAwmp52J0YlX3Dt2p4MybSub609TbqgmxSuUYKWK\n/W2HeTL5Do62H6RUd4G+3qmYnK14SFyxi60EKYMZ4LeQsy2P4uuSTIBrLxz2BvTGDUQEXrFs4TUu\ncU1c/oBr4nJlDPpVaE0HMDnasQgqkMZhE92IV9/KzoaX6bZpkEpC8HaJA9zpshrQ2EwUdFfQYXEg\nx4Nwt1AeSZ7PoZYSElRBpHmHI5dc3b1ntFm5b+92ZiWksKu8jAlR8XyTn8+E2HgmJiVwvqmF/Pom\nHhzVE/66+WwRu8+X8fikTHJKakgK8aNvzOXmtm6DmU82HSMjPoTymlY6tCaig33wclOy73gJ7z8+\nm7rGTsJDfNDqzdhsduwOETelHLPFTmFRHa+/twu5XMorz80iOT6Y2roO7rn3azIzE1l8ayb+/ioK\nC+p47ul1GA0WFt2eyYCBscTF93TTLCqo44vl+6iuaCUi2h+r1c602f3Zv7uQlN7hzLlxCB6eyj9l\nhrHbHdRWt7Frax4Hdp3HZrVjMtlwcZGh9nUnIsqPO+8fR3ikP1aLnXVrT6H2cWPT+rMYjRZeevV6\nIqP90GpNqFSuPPjwd8TFBnD3XWP4+vtjbNySyxMPTaZ/RhR/e/I7SipaeO7BKQQGerFxzzlclXIW\nzhpIXnEDR86WM3ZIEjtPFmMwWnngpkyWvLmO1OhA3r5nGgBtWj3vbDpMbJAvNkRCfDxp1RvYnHuB\nJ6ddx3v7j3HL0L68ujebrMRofiwo4oNZU/nHmVOkBgeQHhTEZwVniFarKexsZuWE2SRcoWpymbaF\nv5/6nvmxA2g3d3BGU8rKwQ9Qo69nbd0uXGQO7ou/g+Pt+ynRnqbFXIgg6JgW/CA+Lr406DahlHrS\ny+8hTOZTNHc9RmTgdiSSq/fX+b/ONXH5A66Jy5WxWkto7XoWsyjBy2MWGpsBi6OdKK9bONn+JXma\nY/gqEghwTWJyyO2c7y4gwi2KQ61n2d50GLmgIl2VTIIqArWLJ2ne4Vedy2y3IxEERES2lhUzLT4Z\nhVTKqtw8Yn18eC/7GOnBgey9WM4/5s3AQ+lCu87AYz/s4plpo3hlw0Hmj+jDTcMzfju21c7Rwiry\nLtaydt85JgxJZlByBF9tPsEDN4+ioqqNz9Yc4dMXb8TTzYW3P9uLt8qNFx6dxr7si7yzfDcKmZQV\nHy2iprqdtetOExzsxYzp/YiK7HlIL39/D+fya+g3MIZJU9JJTQ3HaLBgMlppa+3mqQe+QyaTEhUX\nwMNPT8fH1+PnEvkARoOFjjYtbc1aLBYr2348Q0SUL3q9FUEAq9WO2sedsVMz8FK74+t/uUmsq0PP\nwX3n2bejgMqyFqQyAblcxgtv30jvPj1RXNu25PHVF4dI6RVGSkoIc+cNRiqTsPSer2hs7GLMqFTu\nWHIdre1a1m44TWuHnkfvm0BTWzcvvbuNAH8Vyx6exrtf7MfhEHnxoanc9vRqPD1ceOuhmXy17RQG\nk5UpI1Lw9HAlxFf1s1hWtXSyePmPLL9zJttyi7Ha7Nw6qj8nyus4WVOHxW7Hw90FhUxKg05HiJeK\nbwvykEok5N33NzYWF7Hs6EHmpqRQpulkzZR5vxFiURQ501GDq0zK+tpTeLvICXX1RcTI9qaDvNvn\ncdQuKlrNTWS3bkNjrcJN6iTSLQans40O03H6+i0hwnMSEkGO2VqK09mJm/K37a6v0cM1cfkDronL\nlbFYi9GZdiB3GUZ554eolFkoZMGU6vNxinaUsljqjfVcH/kgMkFOmb6SKkMNP9YdBIcr0Z5hDPDp\nhUKiRCV3pa/PbyO3fuLmHT+S7h/EwwNG0GrQo3Jx4YX9B5EIAuncRZLMAAAgAElEQVQBwczsncKR\nsmoOlFfQ1qlneFwkDR06/Nxd2V9QgZebC8tvn3FZvojTKXK6uJZ+ieHkl9Tz+PKteHu68eUzN2Kx\n2jlf1khKTBA6g5ntB4tYfP1Q7nx0NbGRfjx53ySsdgdPPLeeIQNjuWH2AB54eA1NTV307hXOo49M\nwel0ct/dq2hp1vDCy3Px8fUgIrLnL+o7bvyE9g4d0+cO5JYlWbQ0aQgM9r60Lid1le2sW32UkHBf\n0vpG8tBtXyKVCqh9PXDzUFJf3YaHyrWn1L7dicViRwCCQtV0degJDPEmLMqX1sZuZtw0iFGT0n9+\n2FosdjZ9f4ItG87g4iKnuamL8Eg/Xv/gZrx93DlfWMfhQ8UsWDichvpOklNCqahs5aVXNmMyWfns\n41sxmmys/DaH4tJmXn9hDqVVLbzw9jYiQtS8/fw8Dp8uY82W07z71Bz2nS6lo0vP7bOH8sTyrQT5\nqnj6tnE8/tl2bhrTl/S4HhNoc5eWL/edYXhqFJ16I0MSIpny7ioyIoMJ8lUxJiWemq5OVEolL+w7\niJe7khpdN8vGZLGxtJgwtYobk9J48uge7u8/jBlxKVfcS+c66yjqrkUmEem26Wi2tDIqoA9SCQz2\nTcchOv4/9s4zPKpqbdj3tMxkMkkmvfdACJAQCCX03nuTKoggIKJSbAgIWLCLdFHpSJHeu4QWWgiQ\nkEASQnrvmZap+/sRX89B9Bzf9/N833mP3Nc1P2bvtfdae/as/exnPY2fSo+htZThKFXhqfCgUHsZ\nZ6k9KgnIpa6EOY+hrGYlZuMNHKQOqF3WIZX+do2ZvzLPhMs/4ZlweRpBEDBZHlFU+yX1NjF15kLc\nHaZxt+o75LImNFcPJ0gVR3zZUR5q0nisLaXeIkMucaLCaKCwXscrYSMIdAggR1vOiMC2v9tXZlUF\n6dXlVOvrae8XyN60+zRx9UAlk3EpK4cTDzJ5Lqo5PRuHsubsNQpq6ujRKJQz9zOZ17cjnx66yOcT\n+3MiMZ2lY/sg/VkjOH3zITfS8nh1ZCdGv7MFL1dHFr/Yhy+3nmfZrIEk3c9j97HbfPzmUASbwMrv\nz9OrcySd2oXx3oeHUTsrWfTmICQSMVVVOiZN2cCgAdHMnNGL0yeTOXzoNi4uDkTHBDJmbBz3k/Pw\n8lLj4eXEwnk/EBjowfTXeyMSicjPqeDE/kSSb+dgr7TDarFSXFBDh+4RvPzWALasPk9Mu2BatAn9\n3dT6NpsNvc7I4/RiamsMpN7NJ+GnNLz9XRk0qjWfLNxPQIg7k2Z2p0P3SEQiERVltbw2dRM11Tps\ngkBEUz8+XTURhb0dZWV1bP4+Hl8/V8ZN6IBGY+Dk6WSGDWmFUinHYrFy9NQ90jNKeH5cezS6eqa/\nuQOJWMze72ew8IvDVNcaWLFoJJfvZGOyWOjethEHL6YgQkR4kDvbT99m1evDcXd2QBAE1p28hkQs\nJq5JIG/tOEG36FACXNV0bxrGp6cvMrVTa9wdHXj7+BkS8wuJ8vfkYUU587p0ws/Jia7BwXxw7SeO\nPU7n2viXUcqe/q02ZFwkzj2ExKostBYNmdrHeCgcsZdAsMqDOnMFTlIF/X0GIhVJOFz4CSqxiLbu\nE7FZy8jXHkEpsWJn0yOzFuAoD0St/hSJ5FlA5a95Jlz+Cc+Ey5NYrRVUV7+OxlSG1gZ6mwmL2B29\nzZ5asw6z2IW27rOpMlUiF7twrOgglWYtCM44ST3I0lSgsZjZ2+kD5iftYKh/LD28m/9ufy+e2k8j\ntRvR7j7U1RvJranhUHIajdzdG1KbuKg5eT+D7mEhXMvMY0aXttgsAi2DfIgJ8iO/opqyGi0ezioa\n+zbEJlxJzubTnedZNrUfq3ZepHGgByO7x7Bu92W6tg7DQ63i211X6NspktjmgazdcoGObRrRr3sz\ntv5wlXspecyd3Qc3FxUFBVW0a9vgVlxYUMm2LZdp2SqYsjINEyZ2pLpKw8rPTpB2L5+BI2J58eW/\nBfs9Si9m+7oLPHpYTGVFHWERPox/qQst24ahdHjS6cBsNlNeXENRfjVKBzn3bmYBYlrGhVFdoaFJ\niwCUSjny36gBU1utY+4L36OpMyCVShCJRCz4dDROTvYEhXlSV2vg3Tk7KC6swWAwEtsujEUfjMIq\n2LhyKZ2zZ1Jwd3firQWDGoRhQRV37uQyoH80DzNKaBTmSVm5htspOWzZex1nR3tWLBvDkq+P0rdz\nU+JiQykuqyUls4hAPxdupuYxb0J3tpy8RcL9bD56aQAeahVGswWTxYrBZObtH04QE+zL6A7RnE7O\noHdUI8o1OqL9vdGZTIzZtgcXpZykshLGt4rmQHoar7Vrz72yYpIqCxkWHsn8Nl2e+i3MNgsf3DtK\nUxdvrlbco0BXgbeDAhEG3OUKBEzozKU0dQ6huXM0OkshZpuGfr6vYLEZyK07iFwkpqzuS+QiAV/V\nWGzWR7i5ffM/mU7/0fwZQZS/PmFfYADgAPw6b4UgCMLU/94Qn/HvhFjshkwxAKNhGfVCPWJJF8S4\nU2N5gKuiNY7yppQbsymtr+Zu9VFqLdBIFYnGKiKp+hF1JoHZ4SMxC1YcpfacL8ogTOVDkMrtqb7u\nlhXjLFeQkJ+Pq52SF6JbcTjtAQazGR+lkslduhDh6U5bf38M9Sac5QpmdH3SRdReJiM5p4SX+7f/\nZZu/pzOvjuzMictplNdoeWdyL85fTye2aQBNgr1Y/NUxRvRtQetmgbz3+RH694wiMtST5V8cw14h\nY+2XEzl77j73dQV4/GzfyEgv5sC+m+TmVvLanH6YzTYWzd9J9qMy7OykfLxyAo2b+lFWXM2ODfEU\n5VcxaHRbLBYry74eh7efCyqnhiBATZ2es0eSuBn/kIRzaVitT77Y2TvYYdCZADi26zrVFVr8Q9wp\nL6mlXm9CIpXg7adm5JQudOnbHCe1kk2HXweguKCK+0m5HNl1g4cpBfQYEM3gMW1YtXEqOq2JJW/u\n5ObVTIb3/pSxkzsx6aVu1Gn0bNxwkdu3HrNr36soFDJSUvOJv/iA95eNwGS2smHzRZpE+PDZwpHc\nupeDINj47J3hbN1/g6NnkxnYozkLViYikYg5+PU0Fq0/TuNAD2q09Ww7ncj8Md2Qy6TUmyx8tPc8\ny0b3RgAUUilezipyyqtZcvQcI1s2o190BMOaRbL+2k0mtIjiVPojXOT2rLtxHYPIgqejkm+SbzGh\naQzeDk/WXpGIxNSZjTR3DmBkQBuWpPxAuMoDB5mELG02JcZcbIKZfH0+NeYSOrt1447mEtmaO4Q4\ntsRe5kVR3Y8Igh2CyJ5q3RaUYgU2m/6Zcf9/yB+Nc3kX+JCG2JYiwParJoIgCE9Hrf0b80xzeRqr\ntYrM0rnorYXU2iRorTX4Ob1IlbGcnr4LEYlEXKu4wIWyUxTV1+IiDcRN7kOJoY5cXTVb497FTtLw\nhp1aU0gjRy/sJE++v2hM9Xxx6wqBDs5sTkliVa9BxHj7UmeoZ/edZFZduc7E2Bi6hgZzIyuPI/ce\nEv/GSwAcvpVKjb6eyV1jnxr76gNX6BXbiMTUPK6l5PDKqM48yitDozMyuGsz1m67SONQLzq2CmP+\nsh8Z1DuaNtHBfLnmNDqdie/XvMDWrZfJzasgNjaEEcNas37NWezkMpo196NdXDg2q8DEYSuorNDx\nyvx+DB3dFr3OiMlo5tXnv6WmUsfwcXFMfqUHEmmDC/KZQ7e5ejaVsqIaCnMrEQSBsEgfHqUVYa+U\n02VgM0SCmJ5DWuIf7IFgsyGWirGTSSnKr8LZRcm9m4/56eg9sjOKsZPLcHV3okXbEOJP3sM3wI3Q\nSF96Do4hIMQDQRDIzSojPbWQLWt+IrSxJ1EtgxkztTMP7xew9J09VFfqAfhk5XiswM0bj5n1am+q\nqnQA/LArgUuX01m4YAiurg4s+OAAIwbHMnJwKzbuvIogCAztH8PNezkM6Nacncdv8e3+BJ4f3Iaf\nkjLJKqxiWJdmhAR50L5ZMMHeDVkZdPUmHBR2FFfXsfzgBVqEeLPm/HVe6RPH5Ud5jI9rgU0Q+O5m\nIt1CQ9iWcodAFyeSK8to5uWJVCLmoaacHkGhrOkx5B/+ly+UJnOtIpXkmoeEO7rhYmeHSibFUSrj\nkeYOTZ3CMdqKCXFojqvMier6uzRxHkJe7XoUmJHa0nF3eh1n1cj/+YT6D+XPDqIsAI7QUBXyP2Id\n7ZlweRKjOYfiyteoNGdhFlwQJE3wdxpFvj6HWnMJwY49CHOM48e8jVgFO9zsPKg12zhTcoOyehOD\nfDvxSuN/nlH2RnE+XyRepqCyFi9HRw6NnMgnFy9RUldHjbaegloNXw3pT35VDRfSsmgbGoDNIjA2\nrgVztx5lWJtmdG0a+sQ5j19LQyQS4aqyZ/uJRPrGRWA12Sir1jJjdEeem/09g3pGMbhHc9764ACj\nBrfCy9WJt5fspXlTPz5dOooN312goKCSgQNa0qljY3Zsu0J2VjnDRrameZQ/364+h4uLEhc3Fa3j\nwnB0tGflR0d5mFJAnyExtO3UCA9vNUoHOSf33eLmpYfcupSBYBNQqhR06BFJs9bBdO7dFHuH3y7z\nLAgCVeW1CAI4qR2w2mzY/yp2578w6I3ciE8n/mQySQmZWExWpDIJ0+b3Z8iEBk+nB8l53LyayZ6N\nl5FIxYye0plJM7qz9O3dJFzMACA8wpt1W6dTVall7mvbcXNzZPlnY1i15gwqBwU9ekTirHZg1Tfn\ncFErmT29J/OW7sXJUcHyd4ZxKzmXq7cf07ZVECcvPaBDq2A+2HwOgM9eHUR8cjZLp/T9ZdxJWQVc\nTH1MUa0Gi82Gh6sDpTVa5vTvRIj731IDpZaUsjflPmezshCkNqqNevxc1XgpHdAKJjb0Hoa3w2/b\nQ3K05RzIv0VRfTE9PKIoqM/lfl0mCyOnoZQq+Sr9XSQiMXMaLyVXe5tacwYSQUegQ2eKNd+iENuj\nljphteTg7fIuMrvfX979K/JnCxcdMFAQhPg/YWz/FjwTLn/DYDiDtv4KJksF9SJXquof4Os8E0+H\nDuzJmY6TXWM85S2IdulJWl0KxYZyblc/oLy+njx9BfU2Gfvav09SdR6dPJsg+51I/GqDnld+Ooqj\nRE5yaQnPRUTRNSiE1VevE+HuxrGUdL4a0p8Yf19+uH6Hwpo63BT2uDs6MLptNCazldyKahr5POnB\nk5iej80qcORSCuH+7ui1RorKalk8sx9yOxm3knNQ2cs5cvoevbpEYtAZ+eiL4wQHuvHVx+OQSsRs\n2XqZPr2b4+LigJOTPcXFNTg6KsjJKiP+bCoSiYjYdmG07dCI+NP32b35EmKRiKjYIKbP7YdIBJfP\n3Ofgtqs8vFeAzE5Ks5aBzHx3IMHhf8sCXVlah6Panu8+OUbC6fvU1ejx8ndBV2egRVw4l08lI5aI\n8Q/2ICejBLm9DHcvZ5xclSCAWCph3iejcXJWonJuWK4xmczs2hDPqf23iWkbQk2Vjl5DWhLbsRFq\nNxUZaYW8+/I2rFYbKid75i8bhl+gO5NGrATghyNzUbs48OOuBH7ccxN3D0feXTSU2joDq9ae5aP3\nR2I0W3lj0Y/ERAUwYUwcH68+iUgkYvbUHiz9+jhvvtSLtJxS9pxOYsrwOL7cFY+rkz2nVr1MtUaP\nwk6GvVzGw4Iy1p28xtsju2Gx2TBZrLy1+wSze3fA3ckBezsZjb3cee/UOU6kZRDq7UK0tzc3SvPx\ndnbkTkkRPcPDmRfb8XcLiuktRg7k36LYUIaf0on40kReDOvPQ80DigzZaM2V9PLuTnu37tyo/JEo\n555U1t+nQLsboyWbTj5rKK75AiVmlDI1avUniMW/nyHgr8afLVxOAtcFQVj2Zwzu34FnwqUBQain\nrLQb9TYxeqToccZR3o7GbosAMFkN3Kg6SHptKjor5Ok1mLESpoyhxKAhqSYHGxKGePfkeNF92rtG\n8lxIWyKdfZ7qa9HlMxzMSqOff2Mq9HrKNFomRcVQWKvFx8GRTsGBrL54na5hwfg5O7H88E88Kqvi\nwoLpuDjYczktmwPXUvh08gDspFKqNQYsVitqBwVr917hcVElXo5Kjl5K47O5Q8jOrcTfxwW1SsHi\nzw7TrUMEL0/qyvyFezCZrXy2dBSlZbW/pEPZ9F08p04ms3LtJLy9nTm6P5FdWy7Ts380E17swuP0\nEjatPItvkCtmo4033h+G1WZl/fJjnNp3G5lMQvsekTRvE8zgsXGIRCLqqrR8Nn8Xjx8Wo3CwQ1Nt\n4O2vxrFv4yUKs8txcFQwYHwcCoUdMe3DyUjNRyaT4uGjJv7YXZzUDhh0RopyynmUVkRJfhXBEd4U\n5VSgdlchFotZ9u0UfIP+JnBP/HgLk9HMjrXn6dw3in6jYomICuD6pYd8vvgQIhEEhrjz0ZrnEYDk\nOzl8u+oso8bHEdMmjBlTN6JSyZk8tTMxLYMxmSwkXHtEr17NmP76Nny81cx6qTsLPzlEm5hgpj/f\nhS+/P8esiV04cSUNAQEvDydW7b7Eey/1JTW3jEeF5ayYPfQJt/GSGg1fHrtEh4ggDt5OY2Rcc7yd\nHGnq68m0nft5WFlBC18f/Nyd6R0exrFHDzmXl0VzDy9C3FwYHRFFjOfT/zOA88X3yddXEusaxPHi\nK/T3iaOwPocDhUdp4RSKSSing1tP2rl1Ibn6OCW6K1QZr9PD+zMkIg31lsdY608jFbvg77HxT5xx\n//v5sw36a4FNIpHIHbhBQ+LKJxAE4cB/b4jP+HdAEGxI7dphM9zGSTkGb0U7CrTnMdt07Mp+kSZO\nAzBZ5WitOsqNejp59OZ4STzZ+jxinFsxN2IKn6bt405NDgFKN1zlKvyU6t/s6/XYjoxpEk2Uhzf3\nSoq5X1ZKr9BG3Mwv4MrjXDZdTcRNqWRF1lXCPV0pqtHQMtAXFwd7TBYLBRU1TOzWCjtpw9/24x3n\nCfV1pbxCQ0JyNj1iQjlwLoVurcOprNRTXqVleN8YXpy7BTuZBJkgYti41SyYN4DuXSJZs+4stbUG\nopoHsHPHVc6duU+v3s1QyGWs+vQ41y5nMPvNfnTq1pSt685zYMc11K4OzF06FB9/F7avOc+pfYnU\n1upwdFbw2pJhdO4bhUFfT+b9fJZM34J3gCsP7+ShUNoxaEJ7otqF0rx1KK27NvnN38jT729VK0Ob\n/Ha6nLpqHXcSMjl/6Db3rmXxKLUQ3yB3ju9KwGoRGPJ8RwRBQCwRUZBTwYKpm/l820v4+LmyL/5t\ntqw+x4/brnJ03y269WlOi9gQzBYb36w8S+8BZRw6Po/hg77k6y9OsXr9ZKprDVy6kk5BURXLFgxh\n176b5OdX8enCEazedIHNu6/y8oTOrN9xmaWvD2T6B7vx93RmyfR+LNlwkkGdm5KQmsvqA1d4fdTf\nPL28nFXM6BVHpVaPnVTCkcQ03h7cje+v3ORuYSlSqYhreQUMdXbgdGYm57If08TTgxK9luSaEpIr\nSjg6/Om693qLkVxtFQcLblJn0dDJPYbTxdeRSwSClUEM8huO0VLDwcLt1BhzMAsVKCUuuNlFU2S4\njYO4Gpu1AgeRGou19A/PpWc8yR/VXH5twP81giAI/7wo+r8RzzSXBiyWXEQiFx6Vv4hFABfVRKqM\n5egt9STXngaRJ452TXmoyUQuUeOlaEZ82U2MNgmDfHsxMXgwBouR0vo6BEEgX19DF6/Gf6jvw2kP\nKKqrY/ftFEZFNyUhKw+xVURRdR2Wegtao5nEZbORiMXsiE9CqbBjRNzf1r8T7udgMpr5/vB1Zo7o\nwBufH0IiFnF87Uw+//YcL43pyNYfE/D3daFXp0gmzWh4Az1/ZD4bvrtA27ahRDcPQC6Xkf6wiJpq\nHQadkRXLj+Hj78KCpSNwUNlhr5Sz45t4xBIR0+b0oTivkhcHrACgdefGTH69F40i/QA4uPkSmz4/\nibe/K/YqOZPn9SOqTQh28t+OY+kfOAeAk3lfP/H9v/iv7X+El/p8RmlhNf7B7rTvG8XIFzujVNmT\n/7iM0wduc/NiOg4qBZ9umYpYLCLxWhY7vo3HXiHjkw0v8O2qsxzdf4v5i4bQvksTvl1/nrTUQvoN\naIGHtxNffHmC1q1DmT69O4eP36VJY2+MJjNrt11keL8YunaIYNfRRKaMbs/e03dABIeupGAyW1gw\ntS+Hr9znzXHdCfdr0LJMFgs5ZdXsu3Gfdo0DWHnmKlO6tuZw8gNya6rRmUwYRbaGQFG5iLkd4ujd\nuBFJpcXcLMnnfmUJW/uPxtHuSbuUxlzPgqT9BDmqsZfIGBPUhtWZ+xnl34UIpyAeabNxltjzReY7\ntHSKJdjRG2x11NXfxWQrppXbZPwd+5NXuQgZ1XipFyKXNfrD9+E/nT97WSzon7URBCH3D47t34Jn\nwgUsllIqygeiclrEg8oFOMm7UWIuR2+1orXaMAhKlLIoyo0asrSFiHDEYLVDwA53uT+zGo3HS+HG\n2vQzJFZls7n9jN/sR282se7uDYaENsFH5cT57CwGNopAJpFwIDmVhJw8iqvqGBrdlKsZuUT5eZJR\nUEFMkA+dI0IIcFOjN5oQi8Qo7KRU1ulQyu14XFTJ9eRs/L1cuJr4iPzSasb1jcXf24Umod4sWH6A\nrNxyls4dxKpvzqNSyZk1tRvvf3CYaVO7Eh0VwLnTKTirHejdN4q87HLWrThNzuNyNuyYwdXzqaz5\n+DgDR7fhlbcHYjJZWDB1E3ZyKbmZpbTsEMqbH4/hyukUCrPLUbs5Ehrpw5FtV5mxaMgvLsj/iF8L\nl+fjllBR1FC1QqYQcyTjq394HGJAAiezGo6vqdLy5Vt7yEwpQFurJzoujBkLhxAQ5smxXdfZvvYn\nXNxVTH6tNx17NWP18mNcOZ9GXNcI5iweQl5OBQkXH+LpraZnvyi+/Ow41689YtvOl0m6k8N3Gy8y\ncXx7oqMDKS2ro7bOQHFlLfuP3WHdx+OJv5lJQVE10c38KK6sIyLEk3fXnUCtUhAbFcTDvDLWzBmO\nvdyOm5n5HL2ZxpzBnTh4K5UQb1ea+nmy9sJ14sICmX/4JHZSMfXYGNOqOU72CtoHB5BYXEityYhN\nZMXTwZHZLZ9O1ZJaU4jWbGDFwxMsaT4CF4WSGrMGf6U7+wqOMjZgGMtT52FBT0e3ztiJLVitBWCr\nIFjVijDnMWSUjUcp8cLJrg1q1WAkUr9/ej//CvxLgihFDbkmIgEnoFIQhMz/+RD///JMuIDZlE5V\n9evoLFp0YjdqzMW08NoNyCgypKGzmUiquozWYsRglaG1iCmp1+Eu96W5cwsEJEwO6Y/ZamFvTiKR\nal9augU+1c/qpARK9VoScvPpFRzGjfwCYj196RIUQoSHOylFJRxNeUgTD3d6Nwln4d7TzOwRh77e\nhIuDkk5Ngn85l8FoZt2hBGLCfTmb8IDMggpc7RU8yC5l/cLn+OHQTUICPBDbBJLTCnj5ha68u+QA\nJrOF3ZtmsmXrJXJzK3lzfn9eeuE7nNUOrF4/GRcXBwrzKsnNqaBDlwjmv7iR4oJqQhp58d6XYzh7\n8DaJVx9RUlDFgDHtGDIujscPivjgla3otEYiY4KY/u4g/IL/3xSb+rWGA09qOVXltaxadIDEy+mo\nXVUMndyJ3iNisXeQs3X1OS6eTMHd05HFKydisVg4tOsGx/cnsmLzVLz9XJHKJCgUMkwmCwaDCeef\nnQfKKzRMnPQNUc39mTWrF8n38zGarPTsFolEIkanN/LVxp/w8nCkS1wj7mcW4+am4qsfLjBnfDeu\nP8hl8eTeOKsaBO/inadRyWUYrFa8XFQU1WrwUTsyq1d7Xtyxj9t5RaidlWiM9VyePZ2DD9M4/SgD\nX7UTgkjgXmUJh4c9j0L65Aq/xWZl7q09PNBk465wIM4jGAEjvbxaIhVLiXQK5VblZa6Un8VX4UKt\nJZ0IVSwdPScjFTe40wuClYqa1dRqv0ApluHucQY7u2cazL8iiPJFYDng8XfbyoClgiBs+B+N8hn/\nX5HZRSBTjkFivIdKEoi9XITWUsbNik0U1WfhruiEVKTE1z6U1LrHuCu8sGHkkbaMtyI74WbnzO3K\nbGrMOpq6+OImf9p7p1yv5VZJIYPDmvBi89aopHaEqFzZcecugSpn7hQUcfp+Br2bhLP5ym1EViiq\n1lBVp2dUXNRTiQqvp+UiFovQag08Lqpi1fwRzF6+l5G9WvDj8SRUSgUuDgp2HrrJa1O6s2nrFUKD\n3Zk/uy+OKjktY4IYOrgVp44l4+nlzMyXe/DOq9uJiQ3m5bn9EASBoz/exM3TiZh2IYyd0oVD26+y\ndc05uvSNYt2BV8nNKGHvd/FcO3sfqVTCW5+P/V0bym+h1Rq4ezENR7UjxzbH4+qlptuINpzbcw3f\nEE9uX0ijUcsgLCYL5QXVeAa4Eh4VQPO4hgebu4/6F0FyZt9tVszb/tTymauHM0s3TEGvMXDvZhZf\nL9jP5i9OENezKYvWTCKuaxPWfHiEaQNX8NKb/Zg8swfaunpyHpVx50Y2oyZ14F5SNuu/Os1nayf/\ncl6z0cysmT34ftNFtm69TExsMFt+uIqjSo5IKia3sJIpo9px90Ehd1PyKarRkFtcxcr5w1ny7Ule\nGNiWCR/8wOwRnejXrgmz+rfn66OXcVba82NCMi/1asu+26lE+HoQ4ebBjdxCKus0yO3s2HzzNvma\nWh5WVmBFQKmw483WndiTnszkZk+G2UnFEkJU7ogQmNO0NyEqD8yClXOl1wlUenGzKolKUx1acy3F\n6HGVqykzFWKy6ZCIZIhEIoq1h6gz3sJJPgmx9Qw2m+EP3+Nn/EHhIhKJxgHfA7t//pQC3sBYYJ1I\nJKoVBGH3v2yUz/iXYLXVUavbRZ25Fos4m8buH1NrrgZBho8iisEBCyky5PFIm45Ql0ulUUuhQYtC\nLMdktVJgqOBIwW3auoUR4/20xgLwuKYKvcVMZmUVHnIHzgb/Py4AACAASURBVD7O4nZuEV2Cgxkf\nG0NCVg7x6dmEuboys2s7ymu0TO3chuWHLiASQUp2CcvG9QHgx5/ucvByCh+82I9HBRXMG9+N7w4k\n8MErA2neyBetzsjdtALe/+IowwbE8OWq0+j0JtZ/NZH7Kfn4+brQuVMEa1aeJuFqJtt2vkz8mfsU\nFVQRFRNIemohny7ch1QqYf2eWWRnlDLv+Q2ERvjw9Y6ZhDfz41b8A5a9vBUPHzWL1036XaP73yMI\nAps/OsSZ3depq9Ii2BpWC5q3CyM3o5iw5gGYDCY8/Fzx8nclqIkPPoFulBVWU28wkZ6UQ9HjMopz\nKti54gRqd0fe2zyD+EOJ9BjZ7h/aZZSO9rTv2ZwmxwNYMPl7bvz0gFGtlzD3o1Gs2z+bzxfsZfX7\nRzh35A5f7ZhBYsIjvv/6LGoXJXHdIxgxNo6lb++hY9cmDBweywsTv6FHr2aMH9eezMwygvxcGTow\nhu+2XuKLD5/jm20XOXzqHpPGdOBq0mO+/Wg8UqkYmVRCnd7IxqPX6dk+AqPZAoCPixMWq4DJbOHz\niQO5m11IdIA3aYVlDImJRK6QsOHKLVzV9nx//TYxwT608/KnyKDh0x59OZmTwYFHqfQICCXA6UlH\nkhGBrbhXU8C+vBsoJXJaufuyPfscE4O7U6DPxVlmh0xiT2F9IR6KKJxkKs4Wf0SYQ1vsRFYEWyEy\niRf1IiuhnolYrWV/aF49o4E/anNJBq4IgjDrN/atBdo/i9D/30V11RvYhBokipEU1K3BKHiBxJ8C\nQxZFxmK0Njkhyu642UdSVl/Bw7oCMrVFtHaNI6O2lCh1BGabmEinIDp5NMFe+nTuq//iXmkxWTVV\nDAqLYPe9ZOJzcugTGk4bfz8+PnOREdHNuPIoh+XDG4LtJqzahbujkugAHzpFhhDh50FWYQXvfHuc\nNk0COB5/n37tIyksriGvqIoPZg0kJb2IicPaMmDCKkIC3fF0duCnS+kM7h+NpkpP2oNCVn41gQ1r\nf+K1uX1xdLLnx+0JXLuUznufjObEgUTOH7tHVKtg5i4ZwtGdN7hx8SFOzkreWD4Ss9nK9L5f0Cw2\nmNBIH4a90Aml6vdtKuWl1Xw+cxMp17IAkEjFSKRiZHZSOgyIIaJVCAOe7/TfLql761wKpYVVNIoO\nYumk9TSOCSL15mMCG3uxdNssnFwc/uHxdxIyWbloH0qlHA8/Vxatnsih7VcpKazBoDMyYnInPP3U\nvDNzK937RTF6cifefm0HqffyWPrJc6Q9KOLEiXs0bebHyDHtqK7SIlfIyC+uJie3kqZNfSgqq8No\ntDBlbHu+2niBScPbcvBCMq2bB7Ln3B16tYkgLjqYh3lldIpqyJq9cMcpXFQK7O3liMQCO67d5fOx\nA+jYOJgZuw4CYBAseKsdOZeVRf/IRqgUdpzMzsQsseClVHFo2PO/ec2rHp7iRmUWn7cay9bsEzRS\n+YDIjINUgqNUQYk2C4WdBLWdAw4SK5WG21jMjxEowl0iRSYyEqqei7n+BK5u39FQmPevy59t0DcA\ngwVBOPcb+3oDhwVB+F+VgOevLlwqyseiN6Xj4b6DB1UfozWXI5GGYsGXh5oEjDgT4zyOHEMu4IjJ\nJuJBXQ4qmTt9vbvSQh3Ovep8qk06Bvo9XU8FIKW8BKVMxodX4pnaIpZOAcGM/GEnIgF0BjNGgxml\nTIa9SMZzrZsT4uaKVCTmfl4J/VtGkPAgl36tIpBJJSzddIorKTkc+/RF5nxxEJWdHckZhaxfPAY3\nZwcqqnXcuP0YlYOC7h0jGDVxLQP6RNGiaQC3Eh8z9rk4Pv/4GDnZZWzfNQu5QobNaqO2Ws+FU8n8\ndDwZJxcHVmyeysdv7ObezcdMmNWDQWPasfubnyjIKqOqXMOUN/rROOq3tTSbzcZX87ZzcX8iFrMV\nALFUhKefK99fXfpLShgAi9lCZXENj1ML+Pbd3eh09Yx9fQC1FRoOfnOO2J5NMdVbKMouZdTsfrTq\n3gzvn2NZ/l4gWSxWlk5aT12Vjvkrn2f127tRu6l4cfFwfP+B/efyyXuseGcvBoOJoc934IX5A3j/\n9R9Iu5NLr6EtmTq/H9VVWpbO3c2013qTlVXKlQsPmDm3H+d/SqWqQsv7y0dz/MQ9DhxK5J03B/LF\n2jN4uDkyYlgsSz4/wtzpvdiw5yoAr03txocbzjBxUGvWHrjKxAGx3EjPp2+bJozv3YrUvFJq9Qby\nKmtIyMgl3NeNGn097w7pQWFtHW8ePEm/5o3Ira7lelE+w5tFklxRireTCp3FiFqpZGpULJ7KJ5dm\nzTYrGzMuUi8YcZCJCVf50MTZhxPFl5gQNAibYGVxykxE6Il1aYOL3IGeXtO4VPAuestVvBURNFK/\ngl6/CXt5JxztuyKV/vb9/6vwZ9tccoEo4CnhAkTTkHPsGf9LsFqLsdoqMNhKyatcgL1dS9T2vfBQ\n9iBHd5swkSceilCqTWYytA8QCS4UG/WIBRUTg3rgJvcgT1dJUlUO44I7/G4/yRUlVOsNhKhduV9a\nShsff/aMG8vG64lceJRNZpWGkdFNuZKRR3phOUaTFR9HRyJ8PXBzdGBw24baHSdvPMDXQ83kPrGs\n2HmRNyd0Z8K72+nQIhgXJyVqJyVGo4WmjXxwVSv5cf8tDu96lXvJudy4kc2UF7qwftUZystq+WH3\nK2zfeIn83Ao+WTWR4/sSOXvkLj0HtGDYuHZ8tegAbTo3pmu/aOztJYyLex+bzcYrS4fTdWDMb16n\nQV/PsknfkHItE9vPySgHTenK1CXDUSga3nJrKzQ4uzuScSebbcsPIxJB+u1sJDIJ1aV1AKTeeIRE\nJsZstFCSW0llcTWaKh0H1p3h3qWHSGQSsu8X8MoXE7h+8h49x8bhG+LJhztnAw3Lb96BbiTFP2DO\ngE9x9XDmzXVTCGvm/9SYO/dvQUCoJ6+OWM2R7QnkZ1eweO0EFs/YzrHdN6ksq+PNj0dTW6Vj9cfH\neH3REPwD3TEZLQwdGktImCcAAwe0oKZWx1dfn2LO7N6IZGL27L/FW6/0Rac38v68QZyMT6WRvwcg\nUFBSQ4CXmuOX0mjcyBuNwQhAs8CG6p0dgLWnr3Enu5BBbZuhNZoIclXzXKvmHLyXxpIBPWjq7cH2\ne/fQCkZKtBqK6jW4O9pTZ6rn4859n7hOsUhEWl0JwSpXrIKE7t7RAEwNHcnF8gSKDIU4Sb0QiUw8\nFzSfYkMGNsFClfkh9mIFJsFEvTUfKyrq9buw1h/G3WPfP51jz/jjmss7wEJgLrBPEIQakUikBkYD\nXwFrBEFY8C8d6Z/MX1lzqaqag8Wcg03Rnwr9KWqtJuqs9QQ6vcKNim1EOo/nfl0y3vZNydLmk60v\nRGeRUGm08GLQaNK1FbRyCaPObOFSySO+bP3c7y7vpFaUYbZYeFRVRb+wRqjkDTEJHb7agAiY17Uj\nnioHssqqGBbbDLVSwerjV4kK8qZb8zC0BiNf772ESmHHsfj7RAZ7YTVakUjFNPJxJzOnnJee68BH\nK0+w8oPn+GbjRdrGhtCqRSCLFu/nzfn9KS2upb7eTOPGPgSHejTEs+iNPE4vpbpKi4NSTocekaxa\ndhiT0cycZcM5eyCRHzdcQF9n4Ivdswhv/vQDGiA9KYd17+4m424e3kHuDJjYkdGvNjzgEo7fIX7f\nDTLu5GCqN7Ph2vvoNAauHE6kff8YbIJAQKPfjjD/NVaLleKccrJTCwmI8GbdmzvRVOsozCrB1VvN\nsBm96DysNW7eaqxWK/vWnOXi4dtoqnW89uV4Wndv9rv36IdVZ9ix+hwSiYhNF97hwLarJF7OxDfA\nlSVrnuetlzZTmF/Ju5+MRiyVsGL5Uaa+0osOXSK4cD6VwCB3vl59mvSMEua83odNO6/x2fujCA32\nQG8wodMb+WDNSSaPaEd0pD8aXT3D39qEj7sjbh6OiBCxZs4IoKGC6N5rdzmW9JBVLw7Dy7lBEymq\nqaXPui20DwsiqbAIpYMUN5USM1YivT0IVrvg7qBkbJMWT11fjqaCg3m3qbHU0cYtBLlEQhu3cA4V\nnmO0f1801lq8FT7cr7nGnepTuNkpcJIqEdkqUYhtOEntMRmv4qqIxsVhHHK7ZohEf9gX6j+OP3tZ\nTApsB8YAAmChQesRAfuB8YIgmP+vRvz/mL+ycKmumovZqqfWWoVJ5IncLooaUxVWkQqJ2B2N1Uye\nrhCDVcykkFdJq83km6wfcZW74WHnR6G+luUtJrM7O5EWrv7EugX/Zj+rEq9hslp4o11nll+I51Zh\nId+PGE5ZnZYt15Oo0dVTXFVHrcZAt4hQxrePQVdv4siNVN4a0R2lXMau80mk5ZTSxM+dY5fTcJLL\nKSit5sNZAxEE8PF0xsXJnuz8Ss5dSKOsrI6+PZpRVFhNj+5NcXd35NCBRNrGhVFWVEN0q2AEwcbx\nfQ1LV63iwkCAsuIapFIJkTH+TO31GWaThag2YbyzcgJ2dk8/SF7r9wl5GSUERfgwbckI1O6OBIR7\no6sz8P2SvTy89Ziq0hq8gz1Quzsx6d1hhEU9WfLZarVSmFnKrfPJlOdW4t/Ih4e3HuHqpSYgwgej\nwYSDWonKSUlodCBuPi5PHK/XGDi4/iyP7xeQnpSNXmNAX1dPn4kdmbd6CgCPU/Px8HVlzsDPcHBU\n8NKyUUTFPe1Ou3PdWfasu4DZZOG99ZMQS6WcP3KH5Fs5rNrzMts2xFOYW8ncJUO5l5SDXmcktJEX\nRcW1bN54kUVLh7F42QEahXvz3qJhzF/0I106NkZiJwaRiFpdPbmF1Xy5sEGIbDt+k+RHRbRqGkBh\nZR3PdYshyNuFW5n5XErLpl2TQJJzimkZ5kutvp648CAuZGaxJv4aakclVrFAuyB/zuU9QmMy0dTH\ng1a+vtRbLLzV9sl6L3qLiXGXNtDBIwR3ezvSNHl8EDWRlRnbGObXk0jnhro9J4u28aD2Gu4KB/p4\nzyS5YgXhTr2Ri6w42gVhszwEy0MU8i4o7Pv8scn2H8i/Ks4lCugCqIEqGoz8Kf/NgfUDVgIS4HtB\nED751f4gYBMNLs9VwERBEAp+3jcZWPRz0w8FQdj68/ZYYAtgD5wAXv9n2Zv/qsLFYs6iquYDao2J\n1NrM2AjBKg3CiBMSsQ+R6iFsy/kKpdidGJde2EvdOFlynmKDllcbTSSpOpfkmhz6ebXjWsVjpoV3\nxkX+tBHZbLXy/NF92CHGz9EJnd5MiNqFsjodb3XvTHzmY9adv05csD8JGXmMbNUctb2c9o2Dkcuk\n+Lo21OvIL6shITmb6jo9LcJ9+XbvVQZ3jcLPw5l6g5mT51MY0LM5FeVatu5MYP2KiXz00RE8vZzQ\nVetIf1DMoePzeXXqRipKa9nwwwzG9/kSi9nGdwdmY9Aa0dToMJmsNG7mx0t9P6debyK2S2M+3Djt\nqesqyCrj9b6foNfWo1Lbs/b8Qjz9XNHW6Ph85kZK8yrxDffEarKyYNMMFMoGTc1ms7H36xPsXH4I\nO4UMsVhMTUUdMrkUc70FkQg8A92oKddg76DAM8CNiqIqjAYT9XoTUqkEU70ZqZ2UoKZ++IV7Edsn\nir4TuwINS2Jndl5lxewtNI4Npqasji7D2zBt2WgAzu+7wboFe7DZbLz77TRadYtEInkyqUZJQSUL\nJn1HSX4VDo52fLh5Oktf3YGrpxOTX+uFVmNk6/qfaN81Age1kv27rvPWe0M5dTqF9PQS3ls2nLcW\n7CG2dQgimQSd3sSiNwfy4coTDO4djb1SztXbWcyb2lBY7dKdLLR6IxYExCLo27YJMqmEzw5cIKOo\nktmDOuBoL2dHwh0CPNTUW8xsTbxDuJc7TvZycjTV1FmMNPZ0x93RAZ3ZyK3yQnYNfI5wlyeTm868\nto2S+ho0Vg1dvEJp6RqI3qKnu2cMlyuu0VgVyJWKE2jMOSjEesJUEQTYN8LXPozs2u+Qi0QEOY/F\n0a4NYrHimeby71aJUiQSSYAMoDdQANwCxgmCkPZ3bfYCxwRB2CoSiXoAUwRBeF4kErkCiUBrGrSn\n20CsIAjVIpHoJvA6cJ0G4bJKEIST/2gsf1XhotcdplZ3jDpTEjZpKDZpLGKRI+nabMrr05jW+Dgn\nirYQX34ecCLcsSWVRiMt1S3o7Nmaivo65tzeQSOVL4Ig4YvWzz1xfovNxoPKMqoMBvanp9I/uBFF\nGi1Z5ZX4qZxp6unOhYxs3u7VhauPctEZTFgsVjZfSKR7kzBS80rY8voYTGYLKY9LiGnky4zle1Ap\n5SSnFtAlNpylswYAsHn3VX48cpsJQ9uw/0gS784fwJ49N5g2pQsSkYj3Fu4lJMyL3j2bse6rU0yb\n3ZO1Hx3DWG+hU49IRk3qwIO7eTRq5oeXrwsfvbqdnPRiJs3pw8hp3Z64Lp2mntf7f4K2xoC7jzNt\nejVj8ttDObf7KncuPkQqlVCvN9JpaGs6DW6FSCSisqia8qIqPhy3isqSGmyWhixKcqUdnUe0RSKV\nMHBaNzyDPHFxf7L41X9hMpkpzSmjvLCanR8foqasFm2tgeqShih+qVyCWCym05BY3tj4MhKJGEEQ\nWDZhLY1jghj/1mDKC6pwcFYiV8q4f/0Re9ecISDcm3Z9oojp/HR8ztDmCzAZrTi7K9l2cRHPdfgQ\nkVjEhxte4NPFB9DU6Nl+Yh4bVp/F20fNsDHtmPbCtwg2gSUfjmThe/tp0SKAJYuGcyspB6lMTFFJ\nLY7OCo6eS6Ff16YgFVNcXsOOM0n0atuYvMpaerVuzJCOzThx+yGnktJ5e0Q3/NycmbXlEGarlWZB\n3uTW1nA5K4dr82eyKTGRA6kP2D9xPPfLS5l75ihWqcDEZjG81qrjE9dksJh47uI3eNormNG4Bwar\nlq05JwhRudDGNZIbVT/haeeE2VaKQizgKrWn0pRID89XyK9dj73EiId9FEHqRQi2AiQSfySSpwvh\n/RX4vxYuIpGoDuguCMJtkUikoeGB/rsIgvDbs+PJc7anIeiy78/fF/x87Md/1yYV6CsIQsHPGQFq\nBUFw+jnWppsgCDN+brcBiP/5c0EQhCY/b3+i3e/xVxQugiBQXj4AvTmfKqsOK8G4OE5GYy7lTs01\nrAiIJU2R4EidVUAkOFJm1JFSV0iIMpi+3l1JqMik1mTh/ehRONs97SB4NvcR3967idZgJtrdm5yq\navyVToS7uJFcVMLng/ux5qdrlGn0VNfqaBXkS5uQAJzt5dzIyGd4XHOclQpKqzRsP3Obq7ezcLCX\n4alSkZiWR/eW4ajs5YT6uXH2YhofvjOMee/uxlWtwsNZSVJSDjOndWPvnps8Ny4OpULKvh3XeGPx\nUD5buI/CvGpatQshspkfl06l8sqiQdRWavh2+TGCGnvx0ruDcfd8Mr36xcO3+HTmFgRBoNPgVrz7\n7VQSz6ey/eNDlBdU4e7rwuJts/AMaHjYHFpzisRzKTy4mYVfmBcqVyUyuR0vfTQW/9+wsQiC0CCM\niqupLa8l/VYW/X9+uy/JLcPVW42d/En3V73ewNltlzn+3Xly04oaNopALBGzeOerdBj8t7m//ePD\nnNmZgE+wG8sPzMNktHBow3l2rjhJ45aBLN44A5dfXfO8MWuwWGy4eTgx79PnmDP+G+r1JjadnMfN\nK5lsXfsTi78cQ15OBd+tOcfiT0azasVpBEEgIsqPC/EPWfreMLbsukZkEx+sCOQXVRMY6MaR8ylM\nn9CJlEdFDO4exbbjt2jV1J9LKTksmNCDYG9XDl6/j7eLE/7uTiSk57I+/gazercnv6qaC48fo5Tb\n4al2RCITYbCYqbOZuF9VSrirC5Genk8Z9gHeSPwRf6UzNpGFKlMlTnYyOrpH8lCTSoYmi9cavcC1\nyp8Y6juebx9NQkQpjhJvevq8hErqRXbFTORiR9ztQlE5jEWh6PQHZt1/Hn+GcFkCfCcIQpFIJFrK\nPxcu/zQdv0gkGgX0EwRh2s/fnwfaCYIw++/a7ARuCIKwUiQSjaDBpuMOTAEUgiB8+HO7xYCBBuHy\niSAIvX7e3hl4WxCEQb/R/3RgOkBgYGBsbu7/qnRo/9eYTZnU1LyH1lKK1iqmRqgjXL2ChIovKTNX\n0c7tFeLLzyMTqykzWdBYjNSaxVSbbIwNGEJfnzhOFaZQXF/DvMgBv9nHo5pKruTnsuv+PVb1Gsja\n6zdJr6hgdGRzPB0dGNIskmZLVqCQyrATxEzv1pbqOj0vdG3NvZxiukeFUVqlISmzkJgwX158fxd9\nOzRhVLdoistr+Xjdabq2acTlhAwiwr2pLK2jVYsgBLOVy1cymPNqH9LuF5KUmM3XayaRnJQDiNi8\n8gwPUgqYPKsH4RE+7Fh7npEvdKIkt5wtK07RJDqQz354Gans79yFLRYWj1tHZnIuIuCt9VPISy/k\n+0V7CWkaQF21lvd2zKZxTEPqvXcGfExoVBBXDycS1MyPziPa0XV03C82m3q9kXVzNlOUWcyj5BxE\niJiwaCR1FRpe/Gg8X0xdx934+1TkV3Kkbjs5qQXM6bQQQRBQOinpOroDg1/pw8a3t9OqVwuGvTrg\nlxT2BZnFfDJlPZm3s/EK8UBmJ2Vtwge/LMEtm7Cah4k51OuNtOvXgne+e4kfV59mx+fHkMllfLTn\nVZq0CnniXibfyGLd+wfp91wcA8a24+D2BI78cI33Vo3n2IEk4k+mMOPNvmRmlFJaUsuwMW14b+EB\nps7ojqOTgpKyOlq1CmL7nhuMG9WWAH9XRCLYsPsq2fmVRDXzJae4mtr6egrLa+ge14QQHxfG9miJ\nSCRiyEebiQnxoUmAJ/4eLkQFePHStoMghf/D3nmHR1VuffuenplJMum9J4QUQgKETijSexEFpAgo\ndhAbdgUUGwooihUBQRQBQarU0AIkdEhIT0jvZSbTMm1/f+SIcuA9x/c76utR7uvaV8rsWXs9+5lr\n/+Ypa60yrY410ybw5dnz7MjNoVt4IL5qZwZEhJMSEo5G4XTLz+fBqqskuQVTb9WS1VyIwW7EZNci\nEzuYHXEPh2p2Uqq/iMlRhY9MRDvXO4hzG45MrKKs8QN0xvW4iiRIRTr8/LP+13FKfwV+6wX9EKBa\nEATLLV5zApIEQTj9K+zcRduo5Jfi0k0QhLm/OCcA+BAIB44BdwLxtImC4p/ExfiPc978J3FZIAjC\n6H/ly99x5GI0fIPd3kyL4KDVrkcs8QRxBEeqX8fgEAhUj6LZauGaoQqboMJLEUqD2YIDSHTvSIpX\nJ/ZWXmJWZL9/eZ2Fxw/jJldgsTnatgj7+DC0XTue2b6XPqEhnCoqZVqPJM4VVnKluIoVM8fg9I8H\nsCAIvPX1IcL8PembEEFTi4GMy6UM6RXD0fQ8uiWE8cXGE1RWN9O/Wzt27LnIsjcnsX3bOdw0KtKO\n5ODt7crjTwyloqyRrj2jePfl7zmw6xITpvfArGvl8K4LrNj4MEd2XGDL50cICPNi1a75yGQ/Zy6u\nq2riuw/2sWvtMcY/cAcPLJrIhLDHMGrNALyx8yk694nFZDDzaM+XMBssOLur6XxHPA+9M+26nWNb\nT7H3y8PkZhQgFonQNekRi0S4+7rhE+bJ8xvmI5VK8Ar0xGqxIjgEjHojbl5t0ebnDl6mPLeSlmY9\nXv4eKF2dWDJ5xfUof2d3Nc+seZTE/nGoXdvWvvLOFbLzs0OExAQiOAR8gj3pd1cPtA0tPD38bSqK\navAL9WLeshl4Brmx4Z3dnEvNZurTwxk3Z+ANNVd0TQZEIhEubiosZguvzd+IRCJm0NjOLH9jJ8aW\nVj7c+CAr3tqNq7uKuc8M58nHN9C7T3uaDWZCQ7wIi/Bi5WepvLxgFBu3ZzBpXFdOnC1k1sSebNh9\nBoOxlYtFVbz+yEgeem8LUwYlMW1wMm9sOcS12iaclHJcVQrmDuvNulNnyayopclqRiGXcqW2loQg\nH4I8NJyuLGNcXCxJvv4UtjTyYMduSH/RFoD7T64lxTeaCBcNy3K+J9rVkz7ecSS6R9Fi1eMqVZDX\ncoZSQzajA6bzfdnDBCvD0Ejk2KyncRZbcRdrUEnEePts/1sWEfutxcUO9BAE4cwtXusH7P01QZS/\nZlrsn853BnIEQQi6PS32n+NwGKjTvkOVfjdyeWcCXOdhF0lJq11NpakYh9ibaOd+CCINpxvSUUp8\nqDUbeSZmNt5OHrRYTZxtLGaAb9z/eI2chjr0FgsbL1+iyWDianUdvQNDifP2YndmHq0mC1KxmOr6\nFp4Z1peMwjIm9ehIclTbTqpdJ7N47auDvHn/cI5dKOLk2UKkYjGj+8Sz81AmT8zsT8aFazwysx/V\n1Vr0+la2bM1g6pReXLpwjW83nGLFymmAiJKiOvTNBr7+9Cj9hncgKsqP/Mxy/EM98fd3Y9Xi7QSG\ne/POhoduaMO2zw/z1Vs7SUppz4OL7qS8oJo37/sMg7Ytt9SizXOJjAth7aLN5J4pwtRiImlAHE9/\n1vaRqymt49Nn1nPlaBZiiQS7zUZguwDGzxtO73HdkMlvnX7/f0NWeg6fL/gaXUMLfiHeOOwO+k/p\nTVVBDZOfG4fSWYmuUc+lY1fZsmwPCzc/gbtv24PwclouS2Z+jL7ZSNfBCbz69WMc2HSaD5/9hsBI\nH97eMh9XjxuDEe02Oz9+l0Gf4Qk8c+9qdE0G3v3qAd56aQtRMQEMHJ3IsUNXeejxobz68hbSTxXw\n1tJJvPv+PgID3IlNCGLkkAREEgnrNp1kzrQUikrrOZNVwjc/nuPdZybw5IptdEsKo7S2ma9euAeZ\nVMJ9H27GXe3E4E7taDSZUSpkHMkvRioTk15ajo+bM2qFjApjC2M6xFDW0szua3nE+XgzoV0c93bo\nckM7vi3K4L2r+9g78HEeOvchg/0SmBwygPNNlzhaewytrZLu7okUG08SpYqgrvUwLmJP2ruEYbNl\n4ioLx88pBonQiEIej0p113/cl/9t/BbTYp8APyVOuZ+aXgAAIABJREFUGgWcAJpvcWosbSOKfxu2\n+o8tzXnAQKCCtgX9ewRByPrFOV5AoyAIDpFItASwC4Lwyj8W9M8BP6WZOU/bgn6jSCQ6A8ylrZDZ\nHmClIAh7/pUvf0dxEQQBo/koInEQdaY0qkzn0Nsl6Gw25NIwivXlOMm8ceBCb88BfJj/HTZB4Itu\nr2Gwmnnu4re80GEc/sqbi4EZrW2D2pMVZTgEgWS/ABYfSmVkTHsi3TyYv3U38T7e5NU0EOzsit7c\niqtMweTeiaReLmTB+P406808vWoHg7u0o32wL16uKu56+kuiQ70I8XRn6thubNtzgb492tGnWxSC\nIJCWls/VnApUchk/7rnE0mX3cORAFn7+bnh4qFm2cDvdU6Lx9dWwf9s5pj06kMqCGtIOZjJgTGfG\nz0y5oR0L7lzOlbR8AiK8+ejgC6yYt44jWzMAeGrVTHqPTebV8cvITMvFzceVu58aybhHhmK3OyjN\nLueZO9pmh31CvQiK8mfex3Nwcb91Od7fkvrKRvauPsT3K3aj8XKl+6jOqDVqZrxy48PP4XDQXKvD\nw8+NBaPfoam2hZkvjyehVzSFWWW8OWc1EpmEz469gssvUsnYbXbenP81lSUNLPnyfrasO8HZE/k8\n9foEPnnvR0xGC++unk1hXg0lxbUcT8unqdHAnVO68d3mDMaN7cK1iiZUSjnXqhtQOslQqp2w2R04\naxQUlNRiFYt4fHIKK7edpEt0EDOGJbPtVCZao4kavQGb3cGsAclkFJfh5aLmlb2HcJJLUMikeLqp\nkEkldA8LYs3lcwS6uaJRKvl40Ngb2l9r0nHX0U+YGpHMifrLNFt1jA/uTKm+BDt6jI4qnMQWglWh\n9PDsTEbtKiQiLRqphI7udxPkPBKlLAC7vQqrNR+FIuVvNzX2W4jLGNqCJgH6ARcA3T+dZqdNcJYJ\ngnDyVzo2AlhB21bkLwVBWCISiRYDZwVB2PGPdZk3aVvjOQY8KghC6z/eOxt44R+mlgiCsOYf/0/m\n563Ie4G5t7ci34zZcoVWuxa1oiP5zevRyDugs5m43LwDsTiQRosJMZ402VoZ5DOShVc/xVWs4ZHo\nKQQq/ViVd4AlSZOQiMQ32X7owHYcgkBn70B8nZwRCyIqdDrGxsQwd/NOaloMBKpc8HN1Ib+ynjX3\n30lhTSO924ddt7F88zH2ZeQwqlssBWV1BLpr6BgdwNDesdjsDqQS8fWfAF+sPsL5CyUseGoEp07l\nYzZZ8fNyQSQSERbhxafv7SM2IYipc/rzzMzP6Tc8AV9/DZ8t2Un/UZ144IWfZ05NBjMP9n2duopG\nYruF89rXj3F0awYndp6j6EoZay68gbXVzryUV6kqqiWxbyyvbnkCiUTEq+Pf4fyBK3gFeRDdJZI+\nE7oxeHr/37s7b4nVYuX0rnMsf/BTWhr09JnQnT7juzFwalvsR+GlEta8+h0xXSOZ9MwY7FY7Wz74\nkdwL13juiwcwGcxs+eggo2f3Q3AIBEX5XretazKw+p3ddO0XS0K3COZP/QRXNxVznh7OK098Q1ik\nN8Pv6squ78/ywLzB1NS2ENXOl01bMqioaOSuSd15dckPTL6rG3XNBgb0as/h9Hw6tPfDKgjcOSiJ\nMU99Tod2Abg4K3h0fB9c1W1rJ1VNOgTgUmkVDQYjk7snsubkGQoamojw9SSnrpZ6kxGz2IaHWkl2\nQy39wsLoHRTGsPAbi9eZ7VbeydxFen0uvX3DKTGVEq72oqtnLAZbNeeb0lBJpIz2n0CLpZRc7XfE\naHrT1WceZbr14KjHw2kARt2LaNwWI5ffODr6q/NbT4ulAo8IgpD9Wzj3Z+DvKC61TYtosVVgwZ1r\nhnQiNXNwkkejkviyq+pLjDYRTRYzZocEs01OnqEWb1EANrGChR2mEebie0u79SYDC47+yLxOPTBY\nrVypruVqdR2eCiWtFhuVjTrsDgGZIKbVZGVEYnum9urE0u1HifT1YELPBK5VN/HS53voHR9GTb2O\nMF93Nv14nunDu2Kx2Jg5sedN153z4Jf06d2OYwezSewcwv1zBqDTmqgqb2TlG7vwC3DjxXfuZvlL\n3zNr/hBqKhp57ZGvmDF/CONn/RxoV11az6N3vIHJYGbi3KFMnjeUafHPoFQqWLp3AQHhPjw/6i2u\nni5g9mt3E50cSVRSKA93WkBtaS02mwOlWsHyE68T0v7PU1Dq3MGLrF+0mZz0ArwCPRl23wCmvXQX\nuWcL+XbpTgZM6klYXBBB0f7knC3mqyXbiO8RxT3PjObiiVy+W7mP9klhzH55/A12d6xP49juSzz9\n7mSenbUatasTM+YNYsv6U4yb0gO5UkZBXjWDhnfk2ae/ZcSoRNLPFVNZ1UxsxyAiwn3onhzO7kNX\n8PPVcCW3iucfGcoLH+ygyWSirKaZKcOSCfJ1Y0SPWLQGM89+tYeUDuFkltUgkkFObS3ZNQ2M6hBF\nbIg/317KxNddjUapwIaDXG09oR5uzIjvxB2hkTf4X2Zo5N4Tq7GLTPirXBgVEEeJsZpE91B6e3Xi\nndzXGek/kotNu9DIpMjREqpOxkehptGURog6BZv1IjKhDrXTEFTqv9fU2K8Vl5u/gt4CQRAG/Cth\nEYlEfv8b527zf4NM0R29pQitJRcJSsr1F8jVHaLSmItcpEaMgiBVBNcMdZSaqtBIXWmhlWarmfdz\n9mGy3bSfA4BDJYXEenrjplDSOyiMMdGxPNS1G1lVNUR4ejCnV1eMRgsD24cjIDAkIZp6nQGLxYqf\nuwsAj3+wDb25laKyemQyCVv2X2TOnb0oKq0nOrxN1Kqrtfx4MPP6dVd9eC+nj+dhNLUy4c6uvL1w\nG2IRvP7MJuqqtbzw9t2sWrKT8TN6kfrDOX5Yd4LHFo2/QViu5VbwcP/XMZtbefqjmfQblcQL45eR\nPDCelzY8grZOx4XULAIi/Rg2sx9jHx7CyW2nmBr2ECVXy3D1cuGrgg/ZWrfmTyUsAF0GJbHi+BKW\nHl5EY3UT6175jtlxjxPdJYJXN81HhIjVL23iy5c3ER4fyPhHBnPw21PMH/wGPoEexHQOZ9e6Y2x8\nb/cNdgdPSEbl4oTNYuOTH+ZSWdrA2uUHmPvCKD58cxeVpQ2AwCtPfcOMmb354tNUeiRH4OPjQp+u\nUUyd2J2oMB/OXiyhvl7PggcHk1dUTVlVE17OakxmK4fTcwn2diO/vA6N2omeMaFIRWI8nZWEerpR\nXNOWznBHZgGfHE/H0NpKRaOW9NJyRCIR7T29kCGhm3/w9SnbnwhWe5DkEYxK7ES5oZkzjUXktpSx\npXw/GY1XuCt4MpHOkXT1HEUXj5G02PXoLOVkN2/FZNdRpttAjWEfzuppiCU3Bmve5md+lbiIRCJX\nkUi0VCQSZYhEoksikejyP44rIpGoECj7nf28zW+A1d6ExSEgF7tiEXkik7rS2GokrWETVsGORbCS\nqcvGhgO7Ax6NnIyr1JMOmhDe6XLP/5hWv1dACBnl5Sw5dQxBEJi3cxc7s7MRBLhcVkmtTs+gmEjy\nqxuYP7QP3i5qSuubCfP1oFdMGPnldXQI9+PVGYOZP6UfVpONQT3aU3ytnhkTuqPXm7DZ7Lz30X62\n7Tx//bqnT+VRUd7ElKm9+PyDA8yY0583nv0Os8nCC2/dycpF2xk9uTvHdl3k6w8PYTJYGDju5ymM\nM4czeWbcMuRKGSv3P4e+0UBWegG9Ribx/OoHyT6Zx7PD3iR97wXmvj+Th9+dTnl+Jd++9QPeAZ58\ncnEpG4o+xivA43fvu/+EhD4x7DF9w4T5w/Hwd8fhcJB3rpCUCd0Y/eAgzh/M5N6YJ3F1U/Hy+kdp\nqG7m2bHvMmRST15d+yDbPk/lakbhdXtKtYLFn8/GP8STs0fzeOuLWRj1Zk7uz2L81J5sWZtGx8QQ\nGhr0lBfVM3psZ/Lzqplz3wDeW76Xg4ez+Hh1Ki/NG0FmdgXrt5xi0+7zjOnXkedmD2b26O60Wm3k\nV9TRrG/bnXfvgC5M6pPI02P6MbtvV3pEhhPj44EYaDFbaDKYqNMbkUukqMQybFaBWQmd+OjiaXYV\n5d50T15JHMOTccOwCDaKDXUEq/wIVYUhEQlsLf+RVnsrDsFBjakckwOCnbujkXdEKQnGgTNSiTtN\nxkO06NdhNh/7o7ryv4pfOy22FriHtsXyONq2AOcCfQBf2qbMPvv93Pzt+TtNi9ntWhpbNlBt2IZM\nnkSIZj6XmzZSay4n2fsBNLIgDtf+iL8ylB0VR6k01yNxuPBc/BwCld68eGkz82OGEai69UO0oKmB\npaeP08MvmEg3T44UFXGlooa7O3ZAKZHx2s5DDI2Lxt/VhSatkTFd4ugQ0jbYtdrs7DqZRZCPGws/\n2cuwru3ZcvASM0Z25eipfNzVTlzJrmDnukcxmSykZxRyNauSfinRXLlURmxcIJfPFmO3OwgMcGPn\n5jOMm9yDsAhvdn+XQWxCEF8t+xGFSs7GtJev+1xdUs+sHq/gpJKzKvVFXpn4PrXlDTzzyf3EdA1n\nzxepiMVirK1WZi2+my9f3MiQmf0JahdAZVEVARG/LuHknxFtvY4Z7ebSajDz2ZX3kMnlrHh0NfUV\nTay+9A56rZFVC77m9N7LPPzWZHqN7szONUfZv/EkHx99GYWibbdbq9nKews24aSUMWZmCh8v2Ym7\nlwsxnUMpzqthzlNDeWjapwwf24nkXlGYTTaOpeUybFgCTVoj3249Q2iEF5euVtCunR8Xs8tY/dY0\n1u/KoEarx2K18868sTf5f6agjNIGLTqziXcOncAhBrEE/D1difDyINrXky+unCNQ44pVsJEQ4Mdb\nKUNvGfuyt+ISJlsrAWpnTHYz6Y1ncQgGmqxl9PToRoE+lQjnDkSrgxCLRDhLJLhK/ak3bEfuyEGB\nHnfNizg5pdxk+6/KbzotBowAXhQEYRzwMVAhCMIkIJq2HVwd/789vc3vjta4nSb9ShyCCUReXGvZ\ng1gkZkTwUmRid/L1V3DgILU2lUpzJQ2tLRgcJvZWniWtLpeh/h1vKSw2h4NibRMny0tptdsx2ax4\nqJSMaN+e0bExlDfp8HF15tH+PdicnklOZR1TeicR5f/zVMKBs3nsOHkVJ5mMt+eNJrOgip6J4Qzp\nHcu8mf3R6UyMHpzAvkNZKOQyamt1BAd78PrC7ezedZFv1xzl8L7LeHs6s2/7BUbf1Y3o2ACO7r3C\nc+9MYvuXx3FSKfj6xEvXr7nry1RmdX+FsBh/Ptj/LCvmfUV5YTX3vjSBDj2iWDDkTY5sPs3Qe/sR\n3jGQd2Z9xI9fpnLhUFsavf9mYQHQeLnyyIqZeAZ68GTfV1jz0jcs2fEMyw613SNnjYqnVs2m04BY\nNq/8kYx9l3H1cKauoolF0z/G9o8qkgonGdPmDUahlBMS4UNoO18qSuqJ7xhERIwfK5fs4s57unNw\n72V0zSa2bztLp8QQtmw9S0Z6EQBXM8t56qFB9O4UzqBeMZzLKuNibgXxYb406kzkldUx5OlPKays\nB2De5z/w8f5TvLb1IOWNOkLcXRA5wE3pREdfX3ydnUkrKSXJ05/ne6fgoVQR7uLO0fLiW94LZ6kT\nG66dYG1RKj5OnkwJGYXFYUGCE5e0F+jvfTdBTlG4ygO50riJbO0OGk0nqTRsRiSJwi72Rq7o+gf0\n2n8fv1ZcNLRt8wXIpC2/F4IgGID3aBOf2/wJ0bd8jlIahkXkjUrRCYkkAE9lB7r5PE2pMYvzjYe4\nZsjGbG/FR+FPiDIckGGzK9hRmc672T9gtt96reWatol3Mo6ht1jo7huERCTBZnegNZmZlpzEoyk9\n2Hs5l69PXMBVJuXlsQOw2RzklLeVizW1Wlm//xz9OkawZudpzmeVYzBbsJusZBdUU1HRRN8e0fRJ\njkKllHHhYgkyqQRtvR4fPw2D74ghJ6uK0RO68sO3GRgNFsZN6UH7hCDmPD0Mk8HM8i2Pse7I89e3\nix7ffYHPX9uOQiljyvxhzO33Ok01Wj47/RqGBh3nU7MYNqs/K08sojy/kiV3r+DwxmOsK1jJ6Idu\nTiny38rQewewoWgVd9zTh1M7z7B8zif8NIshCAJp28/y1IezGDm7PwBymYT3dj6NUW9izZIfMOnb\nYn5Conx5dOF45Aopc54ezoi7u/Ha/G/w9XMlIMgDTw9nEjuHUVJYy8BB8az+7AjJSaG4ualoF+5N\nbZ0ehUxKfaOe6eO78/3eC4wfkMi5rHJevX8oHq5K2gd5czqrFIARXWJ4eHAPwr3dCXZ3xUXihEQk\nwmxq5WRxKZOTElDLZVyuquZydS0Rbh7kNzTw5ZVzNJlNN92HFN/2qGVOOEvVSEUSQtUBPNZuDj4K\nf5QSV+I0XbFhIbP5BFaHgMMhQiHrjJM0Cjf1JFzVd9FQdzcm074/pN/+m/i14lIF/LRonwd4iUSi\nn76+1f3itdv8iRAEB3r9Suq1r2OyV1BrOkmxdh0qaQA2h5X8lnRMdj0p3qPp5z0MF5k3DZYWwtTB\njArqzdyocSjESqJdb/1NPcrdk7GRsZysKOXOmDh2ZGWzLesqlyqrsdrtyKUSxiTGUtbUgkgsxsvF\nmc8PpHOpuC0Xlkwq4f6R3fF1c6Znh3D2n8xm2ohksvJrKK9sIju/mohgT77dmkFIoAfHT+QS6OdO\nXn41kyZ1Z9fW83RIDKbVaGXouE68uWoalta2yg+rFm/nnafaqjL+lNKluqSejxZ8g5evhgUf3csb\nMz/FbGjl1Y2PcmxLOhve2M75Q1eYMHcor45fysY3tnLHlN5sa1iLUn3rdCL/zYhEIh5ZPpvVWSuo\nKanj/vgnEAQBQRCoKKwh61Q+PYcm4uHjys4vUmmsamLRhkfZvfYY7z2+Hrvdcd2W2WThweHvERzm\nSWCoJ2kHrtJrYCzLFu4gONiTa4U1bFp7nNi4QJQqOUWFtaQdz2P5G5NY9NYOkuKCePujH+mWGIqb\nc9u9PpNZwqLPfiTIU8PmI5fIvlbLsM7t6douhLnDe/PRvlP4uDoT6+uNySoQ4eHOqrR0LpdXIwau\nVFShlkjRt1qIdvfCLjhueR8WxIziyZgxfF9+CpPdgofcjREBw1BL1eyp3k0f77EEqNpjw0ajtR6z\nowS1ogdaywVcVWOQSqOxWq/e0vbfmV8rLj8Ab4lEosGCIJQAxcArIpEoDHiYtkqVt/mTYbVeRqEY\njFr1AGppJ7zVD+HmlISLPIwacyFF+stcaD5KgT6fb8u+wWA10MerB+MDhzAtbAgtVisTQ7r/j+Ji\ntlmpaGnh8+FjqdYbuNbUTE5NHaPi2iMRiXn5hwO4q5Ssf2AiWx67h4vFlSSG+XNX70TqtQY+3XGK\nfkmRDO8VR3VNM3ER/gzuFcuyFyfg5a5m+sTu+Hi7MnJwAm+9vYv42ADeX7YXXx8Nm9adIDLal+AA\nN7Ivl9JvUDxb1pwg+2IZix5eS3CkD48uGnfd19Qt6TzQdxEde0fz3s6neHNW2xLha1vn01ytpfBS\nCfe/MZmeozoxvf1jZKXlMHhGf57/ej5KZ+Uf0l//V/gEe7Fo+wKe/vIR7oubz9KZHzJlwRgqCqpZ\nPOUD5E4ynv9iDu8/sZ49a47y4cHnKc2r4sW7P7g+2nFSynnk1bGsf/8As58YikQs4o0nNjJwZAJf\nfnAAiURMVUUzDz82iP4D4nj5pXGEhXrxxps7CPR3x+EQOHvxGmfOFZN+8RpThnXhfHY5I3rFMapX\nHGF+7nx98Nx1n/vFRuCrcUGKmOHx0UR6uePlpOaOyAjae3ihUThxvqqK/YWFBLi4EK3xxEt5c2mI\nq80VzDm1nnWFx0nSRKKUyKk211PbqmWk/2g6uMSzoWQVMa4p9PCeS7RmJPXmYsz2emoNP2K11WMR\nTFgsmTfZ/rvza8XlJeAq8NQ//n6StkSShcB44N8mrbzNH4/dXo1SNQ5X5yEolH3QWbNQSCM5VPkm\nems1Poo4FCIvNpWuw2Q3kt1Sxo/VxzlRn8mKnO1k6yrp6X1zYamfqDcakYhEiMViLlRVsXTYMIJc\nNXxz5hJ7s3LoGxXGRwdPUd2s54vUs6gVcmKCfFApZKid5CRGBSCViDmSkc+2w5e5a0gSEomYnPxq\n0jIKSD9bRFiwBxvWn8TNTU1lWSMOh0CroZXykgamzOhF9pUKknu242xaPuHRfjTUNHPpVCEurkq8\nfNsyCZTkVLLsqQ2IJRJGz+7DCxOW02t0Jz45tRBjg572yRE88t50hkzvw8LxS2ksa+TTS0sZMv1f\n51D7K6F2VdNjVDI9R3dB16in4GIxA6f0pNeYZFSuSvxCvXlxzYN07NOea1cruO/lCXj4aijKqrhu\no8fAeHoOjOPw9nMkdo+grkpLVkYxamcFZ4/ls3L1bD5cuge7zYFOZ6JDQjBGo4WZU3rx5YYTTB7b\nlepaHb07RZAYG8RDd/chJtSX45eKSOkQTnmdlvzyOgA+2J1GuJcHOoMJQ6uFad2S8HJWsfLoKeoN\nRupbjNhsDmLcvDBbrbybnsbCkwe5XFd9Q7vj3AKJcvWlxtxCam0WD535kOU5mzhSewYXqQcisZRk\n936opK4U6DMw2gyIRUrUskScpIE0GI9jtZux2XIxGnf8oX32Z+d/WyxM8Yto+XZAJ+CCIAj5v5N/\nvxt/9d1igmClvn4iCqdJFGlX4qKcxDX9EeSyWBpsRloFZypNzTRZbMgknvT1GsKy/C0EOfnybqdn\nWXxlCy1WCx92nXmTbbPNhsVu454fvmNcdBz3JyVzpqycby9cxsNJhZtCQXphGQPaR3JHdATv7DjC\nyKQYfN1c6BIZhMFsQSwSsW5XBlKpBEOLGbPFyrOzB9PYbMBkspB2qoD1m07z4MwUVq48wOPzBnPy\naD7TpvciL7uCwBBPtq07SVg7X/x8NZQX19FzQAxvzNvAw6+Mpf+oTgBUFNXx7J3LcVLJmP3COBZP\n+wi5UsaXZ5fw/cofOXfgCivTFjO/1wvkX7jGqAcGMfGZMQRG/ncv2v+nPNTpGaRyCS999yR+oT6s\nXbSF6M7hhMQG8vSIt+nUL44Fn93P+IgnGDCxK48vnQq0pYk5tP08JmMrV6+UcXRPJh27hlLTYEDj\npuLxV8ZycO9lZEo5WZkVTJjUjdTUq4SEe5GVW4XZYeNaWQObPn0AhVzKcyt20K9rFB9tOUFyfDCX\nrtWwaeE00nJKEAMermrkMgkPr92OQbDirlIiVoiwigTMIhsOBLw1KsK93Ej2D2JcdDzO8hu31Fvs\nNo7W5LC1LJ3e3mFsqzyMVGyir1cyCW4BaGQaGloLKdKfxl/hgcl6AaVYRaymG62tGYgcFbiLpaiU\nI3HVzL3F3fxr8VvvFgPgJ2H5x+/5giB8998oLH8HRCIZTqopVOg+w+rQobVcRiYNoFWw4adMQCzy\nodXeSrRLEl08elHf2ta194aOQSmRU25oxkN28zQCwP6SfD68cBqNwomJMR345tJlGs0mQt3dudbQ\nRFmTlj6Roczq3RZT4uykwFvzc36tH05ksunwBVqMrTQ0tpBXUktcqB9X86t444O9bN19noLiWkYO\nS8DLw5nVn91H965RvPjKWMwmC0qlgl3fZhAS4c0dwxLIzyqne79o3npiI32GJVwXFqvFxgt3r8Bm\ntfHgojt5bcYqEMH0Z8cwNfJx9qxO5eOMJexY9SPFV8tQuTgxd9Wcv72wACzZ8zyWVhszIh/jm7e/\nJ7pzOJ88s4FWg5mH35pCQKQP6T9e4skV01Cq5Rz8ri0pukQqoc+wBM4dy6NDxxA07iounykhNNKb\n3MxKDu28SH5OFaPHdub5l8bQrWsEldVN2C12XJydCPTWYLHauZhZysG0HOLD/WjWmXBSyKio0WIw\ntVLbqOeOhCj6J0Rhs9u5f9Vm4gJ9GB4fTWmzFq25FX9nZwKULkjFYp7t3Y92Ht6svnQexT9V3wQQ\niWB3eSY+Tq5EuoQwJ2I04wMGo5apCHcO52DNHs40pNFs0dJia8Rgb0UuUVJrzsFV0RWjrQhBEoTB\n8DF2+82bBv6u/KvcYlf4NzVcfoEgCELib+bVH8BffeRiMKxHZ9xLtekoNpzwcn2VEsNVDHYdDnEI\n2bocGix6ZGJf7vCdwPdlp9Da9Kzv8RaVxiYuNpZwtbmaubEDUUhuzOJrczj46NxpOvr4keTtz6sH\nD9ErOIRQNzc2nLnIwmF3cCK/BC9nNSm/yB32E1abndmLNyIAi+YMo7SqCXdnFdW1WurqWwgL9KC2\nroUrF0uw2wVGDu1IdnYls+5rm6b64dt0KssaGDkxmW1r07hjTBLvzP8asUTM6gMLkMqkOBwOXpn2\nERUFtbz61cO8NHEFzbVa5q+cwdKZnwAw/ZXxtNRq2f/VUZ749EH63iLFzN8ZfbOeSYEPIJFKeG7D\n4wRFB9Bcq6O+spGopDDEUgmN1c1UlzWwa80xHlg8kQ7dowBoqNWx4oXNjJzag0VzNyIIMHB8JzIv\nlvLZlrkonNo+U5s3ncbD05njp/Lx89dQ16CnR/dIjpzKp6CygdrGFg5+NY9GnZGswmriIn2x2Oz4\nebjSpDeyZMthXJwVDO7YjpSYcEat/IrEYD9m9Ulmb04uEZ7uaFstjI5rz51bN5Lo54tEIubtfsNv\naOum4gy0FiNGh4E6SwNPx4wjW1fExebzaK3VyERGWu0VBCp9QbiGu9QNL7kYib0aV7kGX0VXWg3v\n4+6+CqVq4B/eV38kv0XiyrX8enFBEIRZv9q7PwF/ZXERBAGz+TjlDfchkvZGkHQjp2UtA4K3UGbI\no8Zcih01Na2N1Jh01LSayWmp5e6g4aikXkSo/cloKCJY6c2QgPibsr5W6Vt4LS2VxSkD+Tz9LPkN\nDajFcmqbW3BTOtEtOJge4cHUNLfQKzoMJ9nP9cY/2HKcxKgAlm9I5ZG7+jCk+89ldmvqdFTWNHP5\nShlhQV6cOpnHsGEdSUoMxW53IJGIuZhRxLJshyz6AAAgAElEQVRF25kwrRfjpvRAEASeuedjci+V\n8cmeJwgM8wHg8NYMPl+4lec+vY+G8kZEYhEaTzXPj3gbgPFPDENotXH2xws8+sFsOg+8Hap1KwRB\nYPFd7yE4HEx/5S50TUZeHv8uXQYncN+Syczt/zrzV85A39LKN8v38syHs+iU0h6AK2eK+HTJDhJ6\nRLFt/SkSkkMxWh2UFtWx9MvZrPs0lbD2fhTk16BwViCTSymuaqSxUU/PXu3o1DGY3UeyGD8kierm\nFgoq6zmfU05kmDd9kyIZ0zueJ7/cicpJzvG8azw1OoW92bkczS8hxEeDs9qJJrMRlUrBhrsn8tC+\nH8hqqMEhFrg4Yy6yX4xiBEGgzqxjTvrnBKvVzIwYSKYumypTCX5KdyyOOrxkzjRariISqnEVmYFa\nwlUxSLHgIqpBLTKhUo5Ao3nhf7ibfw3+42kxQRBmCoIw69cev637t/lPsNkKaNEvw0mejIvzZCyU\nE+oykUZLNcWGi1SZC+jncyf3hD5MkCqGRosOARGdNB34MG8XdsGOBBkuMqdbphM/VlJM/5Bw1DI5\nGqUTQS6uxPl688nksUR7eGKx2Yj08eDo1WIyS29cQB3dO46SygZSksJ567P9fPBVKqs2tKXP8PFy\nYf03p9BqTaSnF9A3JYZD+7K4dKGE3KttC8drVx3CVaNCIZNwdO9lTh3Iou+IRF78cPp1YQHoOawj\n7+58mhfHv8dnL28iNMb/urDMXTmDrW9t5/vlu1iy6/nbwvIvEIlEvLrlaXqN68YXz2+kMr+S4fcN\nIDejiJyMQp7+5D7efehLxAJEdQjhg6c3UFZQA0BC1wg8fTToG408+NxIrpwtwdhiRCoTU1+lJaKd\nL1Nn9EHjpiIu2g+lUkbHmAAUchmD+sSwdtMpgv3dOXw6F0+NmgGdImnUGREcDtbszcBssfHAkO6M\n7RpLbKA3u85ncyG/HI1SgUoqo7XVgtZkIcnPj9nbvsdotjIiIoZPh4wjvbrspnb6KDX08oqmnUsY\nh2rOsLUsjbGBwygxVNLLYxDnm9Opt7SQ7HkfrYKAVQCzvRWjLYtmazFS+SCcnG6H/P3Er80t1vff\nHb+3o7f59chk7XBz+wBvt5eoNe6l2pBOfWse2tZifJ3C8XWK5+OCN1ie+zaHao9iF+De0LG0dwvh\nmZiJlBgamBXVh14+UTfZdggCW/Ou4qt2psFopKixkVPFZfSLDMdstTOjVxcadSa+P5OFIAhcLq7C\nZLFef3+j1silvEqCvN2JDPGmpKyBpmYDNXU6Nn1/hmsl9QzuH0tVlZaz6YW0j/XHYrZy8mguX6zY\nj1gsIrq9L2kHr+Ll68q7z25C12igxx1tBcwOb0kndWsGSrUTD3Z7CZvFzsB7evFY71cAeHTFdLJP\n5gEwYHIv/MJvnen5NjcyZEZ/QmIDWPnYFwy9N4W5H8zkYmoWrm4qJj81kqS+Mby67kFcNGoWTvuI\nVlNb4O3CT2cyeEJnCi6VIJNLqSpq4MW37+ZUag4DhyRQW62lW/dIigrrGDAglq6dw1kwfzi5+TVM\nn9iD6FAfyiqb2LL7PM+/vxMvtRPuaiUyiYQXPt9NbLAvUQHedAjyo7CqgYV3DmFMx7ZMyoEaDYuH\nDkQmFpFVXcvk+ARmdujEroJcPrmUcct23hvZlyCVBxVGHUN8u/FF0Xa0NgOIZPg7hROiTOBc027E\nEi+kYg1uymHEe39BO6/16C3HEET/eSG4vwq/dkH/CJDKz5Ufj/zifz8dt/mT4HCYaNAtRSRyBQHk\n0kASPZ8i3v1Oqsw6Dtd+T5W5lKstWbTYdBjtNtJqMykxVHO8Lo9DVdnsrbhyS9vvnzmJVCwmQuNB\nkEZDt4AgXBRydmXmcO+Xm/n0WDqPDepBWV0zE7t1wMtVfUOp2e8OXEQhlbDqm2Pc0aUdKV2jqKps\nYuf+Sxw+lsP0ST2IjQlk+Xv3oFYrcHdTsfeH83TpHsnBXZeYNDOF4/uyECGw6IE1RMYFcM/cQQA0\n1mr5+r09nNh9geGec7BZ7XQbmsCxjWkAPLf2YY5tOklFfhUbSz/hhY1P3LKNt7k1Dy+bxUubnuCx\n5OfI2HOOAZN6smnpDnqNSMLTz401i7/n8WVTsdkcLHtiPdA2IlC7KMnPrGDy/X1wdVfy6kPrUDkr\nOJWaw66tZzmbls+MWSlkXiwjuUs4ZmMrzs4KTpzI49TZQjpGB6CQS7DZBSprW+jSPhi5VMyprBIM\nZgt1WgPF1Q0M7BBF98gQnhqSgoAInamV94+cJLuqngg3d3ZczeHbq1dILy9jQXIKdUbDTW30U7px\nuamMsYF98FN64iP3IlAehtaipYNbZ+osZbRYLXRwG42HUzeaLXm0Okw4OyXg6fY2ZsNXNDY88kd3\nzZ+SXysunWirANnpF0cKbfEvFUCP38W72/x/IRYrkcmTqdF/TYLv+yR4L8JFHkSR/jwSBEKU7Rnk\nM4kIVQwByiAG+qawJPFRLHa42FiCwWInwtn7Jrs2h4OW1lY6efvzxfmzHMgvIMhNw7DodtTq9Fjt\ndu7v05WsslokYjFfH7lIsJcGhyBwqaCSzMIqQECKmJhwX/KLa/F2c6akohGb1Y5aLSexw88FTafO\n6IObRsULr9/J58v2MWRsJ7r3bc/rn83kkRdGExUfyLzXJl6v+f7N8h/pPjSB6MRgBIeAk1rOub0X\nqC1r4Lk1D2G1WHBSK3jw3Rl4B3n+Ud3xl6LP+B50HphAU20zPsGejH5wEBdTryJzkhEc7c/h707x\n4hdzkEklfPLyZgAi4wOZ9dRwfPzc6T0wDrtdYPfGk1wrrMVZpWDq7L6UFNVRUdbI+nUnKCquw2qx\ncjK9EI2LiotXynBRKxnQJQKAL7afoqyskScm9kVvaKV9oDctJgudwwJpaDFidzj4fPp4XhjSD6VU\nSriHO35qZwS7QKVWi95i5bWTqWzKvXxT+2wOO7GaIKpNWqRiOaXGWq7octhU/gPJ7imopf50dB+A\nqywcL3l7jLY66swZaM3pXKufj86Uilis+UP75M/K/yrO5ZYGRKIngDGCIAz4bVz6Y/grL+gD2B0m\n7A4tUokXJ6tfI9xlBF+XvYlDUOIsjUIi9kIj8ydbW4VKqsHhUKCQqBAEMbMjB+CpuLE0b61Rj7tC\nyZacLFzlCo4XXqNap8dmdbB46EDWn7qASibjySF9uFpeQ25FHZnXqlk4ZQiV9Vo27D/PI+N6cTA9\nlzXbTrNuyXSulTXQMSaQvMIavv/hHMMHJ7Bjx3km39WNkBAvXn7qG5qbDfTs0Q5nVyeu5VYSHOZD\nSJgHP3x1kne+fgiRSIQgCLw89SNiu4QzZEovHk1ZSKcBcaT/cAaTvpUeozphM5rIOpnH9w1rrovR\nbf7/uXQki8y0HKa+eCfQFt+ia9RTklNJQq9oNq/cz/efHeaDfc/iF9KWqLQgq4KvVx7g9Il8BAHu\nfWII36w+zqz5gzmw5xJjJ/fAxdUJH18N77y7B73VilQqosVqpVuncJISQth5IpOrRVV4eLqQHB/C\ntpNZbHjpHvy9XHl3+zEajAai/L1osVroFhWMXCpBKpOwcP8hXNQK6qwGVHIZFpGdGksLy/uPZERE\n++vtKmqp4+PcVKwiE0abDl8nJV5KBVNDRuLl5IHRZqDIcJls7X6aW88R4BRNhHMcemMqckcprjIX\n/N3fwUkR93/SL38Ev3ZBX/rvTvgVXACW/AZ2bvMbIAgObPZKHMgo1a0lwOVeBERobY1095hAlHMf\nWh0OzjSc50jdGUJVUVSbm3CReNLHJ5IETRgeiptrvr975gRucif6BYVz7No16o1GFg8eyKG8QuwO\nBw/264aLQkFORS2bTl5GhphxPeIBCPDSEB/iw/o9Z7h/XE+CfNxwc1GSFBcEQH5BDQ6HgwsXrnHf\nrBS2bz1LcnI4UdG+NDXo+W7tCcbcnczFU0W4e7iy/v0DpAzveH2zwfqlu2iq1eGklvP4Ha8z85UJ\nfLbga0z6VsI7BOMT6IbS2Z97XrjztrD8RiT2jyexf/z1vw99k8bqlzfx7oGX+fj5b5FIxTz0+l08\nOepdXtv4CJEdQgiO9MZJLeexF0dhswuIxGISuoRy4WQBLy6ZSFFeDQEB7pw9U0R8fADBwR4cTy8k\nJT6AfUevUqfVU1HehMXqwE+jxGqxEuDpwtFLBcwZ1RNfd2dcVHIqG3Wo1HI2n72C3mLBzUWJWiZH\nZzKjb22lT0gIZ2or6e4bQrDLjaOMCBdvlibfTa62kk8L9yIgIVQVilQso8XaQqGhADeZN/18ZnC5\nyRdfhTs4WlEr2qMUx2M37aS8fiZRgbde0/k78R+NXEQikSvwJdBJEITIf3f+n4m/6sjFbMmhQfc+\ncuWdVBv2IZbGcLZxMwIedPCYTImhicvaSzRarKgk3vT17kcfr2ScJPKb4ll+4lRlKScrS0n2CSTW\n05s6vRFXhRy1TMGUtd/i7+zM0NhopnRLZPnu4ySF+hPm7UGYj/t1AVi3O4NrFQ3YLHZee2wUekMr\nazal0bdrO9LPFtFqaOVaST26egPePq5UFtYSHOqFTCTCYXdQdKUcb383dDVanNRyVmx5DIlEwuEt\np1n62FeMub8/l49cpaGqmZhOwaTvvohULkEhhZYmA8uOLyKh91/32+T/JZ88vY6gaD/2rj1Bvzu7\n065LOK/N+JjBU3pz9lgO3oHuvLVlPgCVJQ1kniliwJhOCLSNeNJSs6kqb0QQixk0IpHSknr8A91J\nzyikul5H6vFcbDIRFpsNZ40KF3cn8svqSE4MY2CPdqzfd54PHh9HblUdy344jr+3K4MTo9G1thIX\n6INNsPP9latora1crK2ma2gAHf39SS0totjQyKZRk4l0v3GadEPRcVYXpdLe1Z27g3uS1ngGidiM\nswQEdPgqXKgwphGhDuMO30e5VL+QeI95GFvex2RJJzoo7/+gJ/4YftORi0gkauHmmBcxoAREwH3/\naw9v87tgaj2BTRBo0u9FKY/CU9UDceMBdHYdnrJw9umOohRrUInsVJta8FS4saUsjSiXAPr5dLil\nzSNlRXT2DaBfSDiCIPDhydP4ql3Q6o3oWy2UmJoJ6uVKdkUtHmolG49eYGKvjoT7ttWAqW/Wc/fA\nJB5+/TuSYttKATsppHRNCiPjfDHuGhWnsyvokhTGvj2XmX5vH6QSMedO5nPyUDaTZqfwaWYFFoMJ\nvdbIE29NRCKRoNcaKc6upM+oTggWGzKFjInzhrBh8VZUGiWR8YFcSs0k8Y7428LyO3JyewYOh8Dy\nY4v5cP5XODkrGDSlF/s3nmDxd/MpvlrBke1n6T8umYBQTwJCf/Egl0upr2lh37YLfLb1UaxWB75+\nGp596htcvdVom42EhXkRFx/AuStlfPL2VMqrGpn+4npajRZG9+pAVUMLCpmMvnGR2OwCfWLDyK6s\nY8Znm5BKxXh7OlNh0BPg4UqQiyvxnr6cr6wkJSiEvOw69pfk8/AvxMXqsHOmrowwlQ9WwYJZEIh2\nCSevJZticyleChU9PBNp7xIHWGixNROpmUqZ9gt8nScS5fUFNlsZYrEnYrHqj++QPwm/thLlQm4W\nFwHQAXsFQbi5juifnL/qyEXfeoXsmjFAMNHeH6J3OCg1XCRTl46nLIEiUzV1ZhM6GzhLfbkreBSp\nNZk8FTMeqfjm1BiCIHCsrIhl6Sfp4htIrVaPzmRhaFQ7eoeGUNrYTOfgAJydFJwtLMfQakGMiG7t\nglHIpNgdDpauP0zfTpFkXC7h3jHdKCiqYeF7u3jp8ZFUVzVz/lwxdXU6lGIJMbGBHPjhPIvfm0xJ\nXi2hkd7EdgzmwNYzfPL6DuK7hPPa6vtwOBzs//YU9RVNuLop2bR8L1OeHMHql75FhIjRD/Rj4+vb\n6NgvjvdSb+dV/T2x2+w8P/x1Sq6WsyLtdX5cc4yOKTGU5Faxa80RHl9xL/5h3vgE/Vxw7tUHvuRC\nWgFLvprD5Yxi7CIRl84UExkfQHOTnhOnC0nsEkZOQTUvvzgWjZuKmvoWzl0uoUFvwmC1cCarlLWv\nTSPsFpsz7vt4M6dLy3EASpUUsVxMTIA3kV4eGLFRbtAikonIb65DqZBxbPIDN7y/2qQls6mUTWUn\n8HZSYLQ34yoTk+AWSpxrO+I1HbjafJy0+rWkeE8i2vUOSrVr0JlS8VKm4CQUoFbdiULR6/e+/X84\nv2luMUEQFgqCsOifjsWCIKz4bxSWvzJySSD+/4+9846Oq7oW93en9xn13rttybLcLTe54A4GTDEl\nhB5D6BBCEkJNCOQRIGDAoRrTjMGAe+9dtmVZ1bJ67zPS9Hp/f8gEjJP3/N4v2IHoW2vWSPfOnNl3\nnzWz79lnF8N9RBh/RbvrICWWLym1rMfhd6GSa0jVj0AhVTPCNJwIZRQ7O46xIGYMJeYWVtad6yf+\nsOIEe5obCNVoyAoJ42hzG5KAwMiYaEK0Gj4/Wsr6k6ewuz3kJcVQ3tBBZkwYyjNZ+ev3leHx+DlS\nXM/oIXFU13eRGB/GxNFpvPvBXqKjTCQlhnFJwVAiokzMmZPDlBlDee5Xn6HVKyjcfYoD28t589k1\nBALw9Nu3APDAvD/z14c+puCKUbzx6KeMmjmMd37zMW6Hh998eDeb391N7rRhg4blAiCVSbn39TuQ\nSCQ8VPAkE68YTcm+SvRGNSq1gvef/RJdkIZ3nvmSE/sGfi6yRsQPNCXbUILL6UEpk2CzOomNDcLr\n8fPorxeQlBDKL5fMIDMjit37q2ho6Kasqo1LC4bxx/svRSqV8PWuk7z8yW7ae/qpbOz8u0yPXDqF\nP1x5CVq5DKVUikGuIDsykmHRkRQ2NZMdFoHL66XL7kAmSKix9J51TZFqIx7RT4u9jxCFiWH6NJw+\nH6es9dTb6zhtPcXuzq/xBgRAzZ62x/GJKvwokIh99DkLEQO2CzkN/3ac9+6mIAihgiA8LgjCFkEQ\njgqCsEEQhIcFQdD/kAIOcn44HOuw2z+kvvdBAqKVWP1sIrWz8QVcjAu7kVGmK3D6A+zt2oVOHoTN\n72ZqRC63pszjcHcd29rKidEEnTPuvOQMrC43QkBgVVkpsUYDle2dvLhjHzNffoddp2ppM/fzxtZD\nfH20jMYuC1qV8u/v77O5mDY6jamj09CplHR09WO1OokOMRAcpMGgU7FgXi5frCpk8pRM4pPCuP6W\nSYgiKBRyFt44gdLCWkyhOt5c9yCCINBQ1UprXSczrx3L0l99zE2/u4xDXx3BYXWz+LEFLHvwfUbP\nzuXP2564kFPwH01sWhRPf/0o3c09PHHpc2gMGppPt7Hk+cVUHatl5Yvr2bm6kDd++xket4drl8xg\n+PgUvv5gH26Hhy1fHmPStCzWfVbIpYtGExFp4ERRAx99sJ+S0mYiQ/WUVbZyyeQsWjv6kEokrHvt\nThbPHUVKTDAbD1aw6XDl3+WxOT3MzklnSHQYPo8fmSClrruHTeVVvLpgPneMHsPVGcMYExXLI6Mn\noZadu0MwPXIoV8ePo8bWyddt+6lztCMRFJT2l7Gm5RP6fDZsvh4OdK1AFAW6XCX0e8rpdVuIDHoB\nj7f4Qk7Bvx3n6xYbDuwAlMBBBrpPhgPjgW5gkiiKjT+gnP9yfmpuMXPvwzi9dVhFOeGGh/EJKk70\nLCNefx2trhpanG2opWFMC7+MIOXZRuSrpqO8UbmHF0ddw7CgmHPG3tVYx9CQMA42NOH0+pianITd\n7eH9fUfpdTh5dfGlFDe0EaRR4/H5iQs1UV7fTl567Dljbd1TTnePjbXrTpCeFMaJoga0UimRUSai\nQg3ccOsUIqNN+Hx+nnt4JTMuzeW9FzZw+c8nMufacVgtdp666U3y5+ZyfEcp5YermXzZSDb8bTtZ\n41KpPV6NIAis6ngbhVJxzucP8sPy3u8/5eNnvyBtZDIJQxPY9/VRnvzyIX535cssunc2a5fvZdys\nbH79xq34fD6uGvUEwaEGUoYnEJccxumqdgxGNUeP16PWKumyOFh84wRGj02hqKSJEyWNKDRyrrti\nDBkpkTz/zlY6LFaauvp453fXYjjT2O2qF1Zw49Q85CoZD3+ygbhwI832fjyiyPSsFK7KHYpepSRC\nr2N3Ux0H2ht5ffqlZ5U7WllXyPLaXXhxYJCCSSXn/swr6XC1sLNzI1EqNT5/D/GaUGSCjSzDKJos\nrxGlGYPSX4ZWNZaIoGcu1lT8YPyrS+6/AlQDiaIozhRF8TpRFGcASUAn8PL/XdRB/n/xeCrx+evw\noMbqKaLDvgG/6EYhDeFwz0c0OYpQSoJQS/WYFCYcPhcllhocPhcA/oDA+LCUswyLKIocaGlgR30N\nQ0PDcXp9bKupYfupav68fR8rj55ELpPR1GHh9S0Hcbg9SCQCadGhHDvVyJp9pSxbvR+b8+9dGth3\n+DRfrDtOWVkLQ7OiUMikPPbofORyGXqtktLiRvbvKGfv1jL+9MhnDM2L5+3n1hKXEs7sa8YC8LOR\nv6XqRAPRSWHEpETwq2W3cWTjCfJmDKOptB6n1cXSo88PGpaLxM1PX0v6mBROH6slbUQCEqmED55Y\nxfBJGax/dxf3/dd1TF04it6OPmQyGf/10V24XV6sPVZcTg+Lb51M0ZFajEYVLQ09jBqTyL5dlaQk\nhRMdaaS8spVp+ems2XyShpYe/AGRwpMNGLUqXvpk99/lePvuq5g7Mou8hBjSwkNwOD3IRBGDUgGi\nyMv7D/LY5i3cvvZLXji0F9EX4OuairOuZVxoEuHKYJK00WjleuK0USRp4yntO4UEBYKgoSDyRtIN\nk+l21yIGlHhQ4vL3YDLcS5D+zgut/n8rzte4jAKeFkWx+7sHRVHsBJ4BZvyrBRvk/JFIlPgDTpSy\ncPSaqwjVTsKkSKfD3crEkOuRCuFEKRPY3LGdGlstL1UtZ29XMb2efgCSdKEsSjj7RsTh87KloZqK\nni76XC6WfL2Gtn4rtT1mqju6yIuPYWHuEBaNHkZFSyfPf7GTD3cfB6C918assZkkx4Tw7Jubaem0\nEAiISCQSFl8+hiEZUehUCmJigjl6uI4nn12EWiHnymvH4fcFSBsaTUpWFLZeG50tFm68/xIEQWDz\nx/vx+fxMvmwETafaGDdnOE9d9RckAjy9+iG8bh8/e/pqYlMH+7FcTJYe+hML752DpbOPO1+4jjuf\nv56Hlt5CXkEW2z/ej7mrn8evX4q5u5+UoTHoDGqKD1Rz9S2TyMqJIyhER29LPwWXDOWmn0/miqvG\n0GuxsezNHcy/JIdVq4/R0m5m1dpjjMqMJT8vBaVMysHSek5UNdPS1YdRq0ImlfD5oRJ0Cjkutw+1\nTIlWrqCz30ZBYiJTkhKZn5aJIML+lkaOd7SedR0J+lA6XFZKLM30eOzEaWLRydXkmIahlmrpcHWj\nk5sYFjSdqxPfos/filIai1QailQaTbflebp77iIQ6L84E3GROV/j0gQk/pNzoQy4yQa5SDjsnxKQ\nxqJQjMfubcaoHIkoigio2di+jBZHM5s6viRCGUWqPoX80NHYfG72dQ34qPNCEs5xh2nlCm7IzCUt\nKISvKyuo6zXTYulHK1fQ53bz1fEyPjpwgqbuPqKDDFw7aQTXTRpBY4eZaXlpjB+aSFlVG/Wt3USE\nGCgqbWTjjlImjU1j+uQsqqs7OXm8noP7q9i3o4K7H5rNlq+OExBFlr+ylTGT0rnulzN5a8sjJKZF\n0tNm5uUHPyIxM5rrH5yPMVTH4XXHCI4IIjoxhKvCb2VN/wpu/N1VF2MKBvked798C1tX7OZvDy1H\nppByR96vGTl9KEd3lvH5XzfhcXtZ/txAW+Cla+8nZ1wyT9zxHgB/fP1GBIlAaJAORMjKiiYs1IBO\nq6S2uoPxY1OYO20Y86ZnM21CJtmpUZRWtdJvc/HY6+tYtvYgPn8Ah9uDSa3itoIxCIJAsEJFVlgo\n8SYTq4rLOFjbSI/dwSWJqcTrTDw4Mv+c67gjbTKp2ih63C52dJxgc+sh1rbuJ9uYTa/XRpQqDoAG\n+yFO9W3HERCJN9wAohu7axtufw+C8I+b7v3UOV/jci/we0EQbj+TOIkgCCpBEBYBz505F/zN44cS\ndpB/jMt9AI+nBg8yPP52avu3c7Drz6ilwWhkkfR4ukAUSNNn8lXzdhI1kYQpQ0nSRtDiMOML+M8Z\n0xcIcNeWNaw9Xcmx1lbGxcUSpFQzPCqCWempTEpL5BdTx1BY1ciCvCwWT8olITyIXSdqKK8fKLN/\noLiOWflDkEklvPHBbmIijVhtLh546GO8Hh/dnVaSEkP56L09PPXwSjrb+misamfkxFTeem4t6z8+\nSOSZ8NWlj31GXHoEer2ST15cT9XRalb/dTPz75hK0faTSGTntgYY5OLyX9ufQCKTsO7NLUy6cgyr\n/7KBhIwoWk53MGpKJnu/PsZHL65HKpVy1R0FVJe18MpvP8dg1LLkkTlY+5w01HVzorCO7VtKmTVz\nGDa7m+qaDl55fRsbd5SyaUcpPV024iKCmJKbjE6lpMdi5+nlW/D5AwQCIg2dFuZkpyOXyjjR1Mah\nuiZcXh+dNicyQcoDYybi8vu4ZcNqPqk8exN+WlQWQ4yxTIvIJiAGWNt6kFZnN7u7i5gVMZ9N7aup\nspYyxDiPSPVI9IoUJEIo/kAfAUkcUlkK/4u2WD8pzte4rAaCgGWAWRAEO2AHVgJhwAcMrF6+eQxy\ngQgEzIjyUSBREqlbiNUn4PO3Y/XZsXo99HtcuEVwBUQa7J3IJBKMCh1GuY5t7eW8VrmdGuvZU3ay\nq51PK07S43Dw0NhJiD6Rxp4+EoJMzEpP42hdK6MTYpBIBAqGpbJ0wwGcHi/Hq5rxBwLkZydx4EQt\n187OY1hyJAB/fvxKaqo7+fTzw3g8PiaOTyM6JohHf3cZf/jLdTRWdzB6QirH95+mtqyF3k4rGTkD\nd4XP3vo3ju+p4KZHFxDwBtCbNDRWtBpeUWoAACAASURBVDDv9qm88+hHiAFYUbP0gut+kP+emLRo\nnlnza7a8v5OWykbGzc/jslsLkKtkfLl0Kxl5SVSfbMLS1c/IiemMnzEUp8ODudtKTXkrSx6ZTVS0\nkbKSJkwmNSeLmoiONtHbacVkUOP3+CmraqW8up3U6BCUUhn3XjOJiCAdHb1WXC4vN0wZwZjUOJ64\nYgaX5WURqtWglci4fEgmapmMo80tPLx5EwqJlHpLL1FaPR7/tzdbRoWakaFJjAxOY0naPLIMSSRr\n48nUp1PeX4koylFLNbQ4K2l1VdDnbeVg+y9odpzEhxypoKOzYyKBgOsizsTF4XyNyy+B24GbgVuA\nu8483/KdY999DHKBsNk+AH89Rt1NnO59AT9u7D4fXe7TdHga6PW2oRQMOAMBqqx1bGjdx4a2w0Sp\nQ3F4veQYY8kwRp41ZrvditXj5sEx+RxpaqLebCHOYCRSq2NbZTWdViuvbz/Msm2HMWlUpEeHIZNI\nWLHlGAREymvbeOqNjThdXg4cq2Pl10ew2dzMmj6M5vpu8vPTmHlJNtdcM5adm0uJjDbx0FOX43V6\nGJWfxuaVR8gZl0xmbgIAcqWM4RPTkUqkLFwyg/XLtlJf1sLxLScAuO+dO9Aa/jNdD//uDB2fQVJO\nAiV7K8mZmEFsehTXPjQbgMaKZno7+/jzPcsBeOyV64lNCqXsWB2bvzjK9vUnefL+T5g6Ywh/fupr\nZFKB8qImwkL1ZKVG0tDQw7T8DKLDDAgIBESRXUdraO3o42RtG0u/2o/F7uL1jQfZUXqadccr6eyx\nccOYEbh9fqYkJpBoNJEfF8+XV15PsjGEd08e41hH81nXMDwojgxDBOtaTlJiaeKSiInMjppMQByo\nN/Zpw9sc6N7A+LD7SDNcTrh6Cjp5NGplLgjhKFVXI5GoLrjuLzbnVf5FFMXl/6oPFARhNgPRZ1Lg\nbVEU//S98/HAcsB05jW/FkVxgyAI1wOPfOelOUCeKIonBEHYBUQBzjPnLjkTbPCTJhDw4fUcQa+7\nH6ksCsHTzpDgBzCq8jCo0+l0O9jcvhpECSnadFSSSFL0CYwJycHqdTM7ejhBirOLVLp8PhINQRS3\nt7NkxFie3bGTG3KHY5SrWHGoiN/PLuCJBTN4b0chpS0d/GzqQCDAR1uPcbSyiY52CweO16JRybm0\nIJvyU60sX3WI06c7GTMikYkTM8AvsnVzCbNn59DTaeW5X6/i2VdvIGdkIk8veR+JROC2X81HFEU+\nfnE9v3j2asoOnKaisAZ8PkQRTKFqaosbuPW565h/88yLof5BzpM3jr7Ab+b9gccv/RM3PnE12z4+\nwDUPzmHlXzbi8XhxOnxs/uQAsxZPYExBFvdd8SrTLstFIZcyfW4OLz31NfEZkajVMro6+xkqi0cm\nkzJjahbHihtRSKUMyYym02ylrdfKc3fNp6i6lZU7ilBIJUQF6Vm2tZCGrl6cBPjr9v2otAqMWiXD\nYiIpam2lujeJeJMJl9/L5vpqxkcn/F3+CLWBcJWeHGMcRRYXm9qPsLdHypzIaezv2YJGqidIkUCc\ndghFPStotR1gXNgdtNrLcLMTkyINhWM1Gs0VF3EWLjz/myTKoYIgrBIEoVMQBJcgCC2CIKwUBOG8\ne8QKgiAFlgJzgCHAYkEQvl/06XfAZ6IojgCuBV4HEEXxI1EUc0VRzAVuBOpFUTzxnfdd/835/wTD\nAuBx78XtOUVz7z00mJ8hXDsPozINtSyYalsZWfrRaKURhChjkQhaFsQUMCsqH19ApNTSzKSIjHM2\n8r+qLufjimIK21o42tLMsdZWRsfGcriuiSC1ig8OFiGKIh39NsanffsFtLu8jBsSDwj0WRzMn5KN\nXqtidG4S43KTcDo9LF26jZ27Kljx/l5OHKpm5Yr97N1cyrDcBPZuLh0IQpBIeGLZzag0CrweH8d2\nVfDW46t48e53CQnX4g8EeGDpzdQWNaBUK7n20csvsNYH+b9w8x+uw+/z09veyzNfPowpaOCmpr/T\nytiZ2bz26Cf0dFhIz45Da1DRUNWJ2+Ulf1oWOXmJFMwYytz5ecxbkEt5USNGowqfz09ZaQt33jCJ\nEJOWK2bm4nB5eOZvm/liaxGlde0sW3OIJbPHs3BkFr+/cgYyAZwuP0a5kuTgEOp6LTg9Xh5Yv4Fp\ncUn8dlwBm+qrWHbi7GoVgiBwrLeOoz2NmD0uJoQMJ0hpIF6TwZTwWUgEGXW2ciI1OYSpR+FHg1IS\nijPgRkSBIIn8R2r5SXO+bY5HAkcYCEn+EHgC+AwYCxw6c/58GANUi6JYK4qiB/gUuOx7rxEBw5m/\njUAr57IY+OQ8P/Mni0QaglZ3Kx5RRo+zGJunklbHCbwBNwZ5DF80v4U74KHN00OVrY6PG9cD0GDv\nxuI5twsfwGWpWcxPzmR2Yhq7G+oJVmlYWVTCozMmc6q1i1DdQCG+7PgoZg1P//v7bp8/lmdum8OY\nrDiUCjmxYUaOFNVx/GQDX3x1FGu/C51WSWSogZFjkvB4/LidXlRqBaLPR0eLmc+W7eSOx+YzbFQS\nHc09fPHGNn619Occ3VpCSk4cSx/4kM3v7+HF215HF6RhVftbP7ySB/mXkJabxPKqVwmOCKKxoglR\nFHnio7swhuqRKwQMJi2v/WrgK/3+zscYOSUDIRDA7wuQnB7JtrXF6HRKZEhwOj2IPhFLj51Lpg/h\nrQ/2sGLVQT7fWERtQxfHyxtp6+ln0tBEPD4ferWSqtZueiwOXrpuAeFaFTaXh167A71CQVNvPxIR\nnt2zm211NYiiyJG2pnOuYUpEJh6/l2prB2taDuLxe9jTdRCZoKbZUU9530H2dCyn2VmBThGHXjUa\nqTQBPyrsttfxeWsutNovKue7cnkBOASki6L4oCiKz4ui+ACQzkDG/h/Pc5wYBsKav6H5zLHv8iRw\ngyAIzcAG4J5/MM41nGtc3hME4cSZEjX/MHRIEIQ7zpSuOdrV9eOOOxDFACCiVM9CFPQY1bOps26m\npn8PH9beRbe7hjBVIt1eG2Z3HxJRyoyIgSJ6Jy1NpOr/8Z1UcUc7929dzxflpRysb8Lh8mBzuwnT\naRmVEMMtE0chCALz8jLRq78t8zLQtAs276skMymC1o4+5HIpbe19XLdoLPFRJsaNTaWlqZvb75zG\n439cxNE9pxgzMY0D2yuIignidEkzweED9xWrXtvKzi+O8Nytf0OlUZAzPhWJVKC/oweXzc1D79yN\nWqv+wfU8yL+O6JRI+rr6efaalzCG6dm6fA9LnruGUQXDuP6huSiUcg5tKUFnUBPw+fnq/X10tlnI\nHhGPy+7m3Ve3sm51ITk5cRzaf5qf3TgRu91D4bF6RubEU1bVSpBGQ/7wJPLSYgj4A0QG62nr7ucX\ns8dzyYh0pg1LZeU9N/DEgukkmExkhoVyf/44+j0eFKKUpn4L4yLiKOxsoc999ib8ZbGjmRqRzVBD\nEktSFzLEmMbMyKkYFcFcn/BLmh21eAIy4rT5FHY8T6P1S1wBBwbNVJSaK5HKEi+O4i8S52tcxgF/\nEUXR+92DZ1YfLzFQBuZ8+Ec/+t+P01sMvC+KYiwwF1ghCMLf5RQEYSzgEEWx9DvvuV4UxWwGWi9P\nYsBtdu4HieLfRFEcJYriqLCwc9v4/pjw++rpNT9EU+c1uP39ePztmD3dyCRKsozTmRi2mHR9DpHK\neBBUaKVGhpsyaHNayDbFMSb03PY7m+qqSAsOYXpCMt1OBwICM1JTeHLWdJRyGZdlD6G+00xHn5X3\ndxzFbHPSabZRUtPG0lV7eX3lHhKjQ/jl4slkJkbQ02Nj3cZixIDIwktHcqq0maBgHZ1tfaxbWYjf\nL5Kdl8iv/nQVc64Zw69eXIzeqKGufKB3y5I/XIXL7mbomGQ+f3kj828vIOAPoDGqmbhwzEXQ+iD/\nvyx56eeExASz5rUNiMAbD35AQ2UrhVtO4rC5ePHe5bhdHm59dD5PvXUzbrsbS6+D0RPSCA41cN+j\n85g9dzhKpYzysmYSY0N48Y9Xo9OoSIkNpc/qor2jj017K9hXVMvKrUX89p0NRJh0xIQY6bE6WH+s\nglc27eNn40aws6qWZ7buwu7woJTImBibwJHmZjJNoTT0W86S/WBXDQ6PF1FUkKKN5nBPOTPCJ1PW\nV8aympdQSMNYFP84E8OXYPW14xViyQx7Bb16HgHRh4j3HyvlJ8r5dqLs5VtX1fcxAL7zHKcZiPvO\n/7Gc6/a6FZgNIIriQUEQVAwkan6zj3It31u1iKLYcubZKgjCxwy43z44T5l+lPj8DaiUkwnIA3h8\n7QSEZJz+HeSE3EuCfjxWbx+ZhhjSrU04/acQUPFY8XsDLWNDshgdknzWeAFR5JS5m7yIaJ6aMoO7\n8sbSZrNhUqjoc7iQCxI+PVRMmF7HsepmgtRqFDIpL63cjUQAr9tPd5eVmDAjiHDwWA2jchKIiTZh\n0Kno6rYyZlwqUREGykuamHlpLolJYXzyt5384tfzEAQBQ5AWt9NDycFqYtMi+OyljVx9/xzK9lYy\netZwvnplAwBfm3/SU/uTRhAEXtz5JE9e/gJSqUhkYjgqpYyOxm5yJmbQ1WqmeN8pxszIxtxl5Yt3\ndpM2IpHjB6pZeFM+ojfAS39Yy813T2d4bgKPP7Eat89Lyak25szNIS0hhNLTrfj8AYwGNQFvAING\nRUltGzqtkmWbDzMqPZbhcdEs3XEIp8eHxA8quYxhEREcbG5iZFQsIVoVKytPkhP27Qp/dGgiEgGe\nL19Dq9vMu7XrmBSaxXHLEcYFZWFQKNnYtoKhhlScfg8KqinuepJoVSRqQYJaloZMnoZE8p8R2Xi+\nxmUT8KwgCMe/W2JfEIQMBsq/bDrPcQqBNEEQkoAWBgzFdd97TSMwHXhfEIQsQMWZ3JkzK5irgMnf\nkUEGmERR7BYEQQ7MB7adpzw/WmTyXCyW54kKWYo+APX9X5Kgn8tp20FO9hVj8wUYahpDs6MVu9dN\nXlAWB7sbMLt97O+oYWZkDnHab/NdT3S2YZQp+bCkmD6ni2uGZJMbFcWm8iqKm9vQSOVcNnIoIxOi\naTdbsTrdeLx+evrtWK0uhsZFMGl6MrMmZPLsyxvYX1iNvc/Ng7+chVol59OPD5IYF8zmdScID9Gj\nUSmYeMkQ3C43N+Q/y9vbHsVg0rD8T2soO1yNUinD3G6hu7kHl9NNWKSB8IRQ7n1tsC/dj53wuFAK\nFk9k3bKt5F8+lh2f7Oe2P13H83e8zZ1/vAqv109zdQfDRieTPTqZk0dqSEgNQ6mQsumr4+SNTuSL\njw4ik0vRKGUcL6rjsV9fChJ484PdLCgYTnCIlmOVjZyobaOutZfH39nE50/fxJ2zxqJVK9h9qpaq\nzm7kMoH3r1/E+lNVSASByq5OdjXXk58Yz/j4gbYA33jZ5RIZx3uayNDH8G7NTmZGjMekkLHYuIhW\nZy1DTHlU9rmwe6Vo5cnEabIxyGWYHVsJ1s2hp/cWdLrb0euXXOQZuDCcr1vs14AfKD2zr7FZEIQT\nwDeuqYfPZxBRFH0M5MxsBioYiAorEwThaUEQLj3zsoeA2wVBKGZghfJz8dvSzZOBZlEUa78zrBLY\nLAjCSeAEA0brJ73T6/e3Ye69B1H0Um9eTkXPUyhlETQ5TtFgr6Ssv5Cjlr2EK2JJ0SXyZPZ93JR8\nKXenX8r9GfMJV5mIVH+7EBVFkd/s3cz+1kaUMil5EVHsrK0DoCAtiV0VtYxLiaO5y8JTn29jdFoc\ns0Zk8MHmQrQqJXa7m60HK/h6x0kEQeC26yey8JLhtLabuff+FdQ3dBMbG8xLz63D0mtHpVHQ1tTD\nqrf3smddMXmT0jGYNJw+2cihLSe55r7ZKBQy0oYn8OEfVhMSqWfVi2tZcNcsxs77H4uxDvIj4KqH\nLkUml1G8u5SfP7WIlOx4ho1P5b2nv2LXF4Vs+fQgAJf9PB9zt5XsvESO7atmyPA4VAoFv3x4Dlqd\nCmufk2FDYtm8sZgp49NZ+tx1hIboePnd7RSWNqJWyAjXqfjZ7FHIZVKSI0Mob+qkpK4dg0pFhF7H\n+rJTHKpv5IuSUoqbWxEQUEqkqAUZh9vPznm5KWUCkUoDzfZewlXBzIgcT7I2HqcfOl3NHO7ZxvG+\ndUhlCchlOiAYiUSDV3QgU12BVnvDRdD2xeF881x6BEEYwUCC5CQGsvVPAe8A74mieN5dcURR3MDA\nRv13j/3+O3+XA+cW+Rk4t4uB/Z/vHrMD5xut9pNAIglHIs9EDLiRSyVEKOdT2LOCfr+AJxDGUH0B\nO7u38Gbtmww3jSZIYaSsr5G1Tcdx+HxcFjcSueTbqd/SUE2QSs2yWQvx+v2sLivntlEjWVNSgQSB\nK0YMQ4aA1ekh1mRg9cFSrpk4nLaefmobuzFpVZi7bfR2WSk51UJ6UgRJcaEYNSr27a1iy6aTXLt4\nPA/99lLKjjcQHmFg1sKROGwuAl4fU+blArB3zTEycpPIHpdKRm4Ctw5/hOTh8Xz63FeYokxc+8jC\ni6XyQX4AXjnwLA9O/j1VR2sYM2cEExaMoOJILQtunkJ4bDCnjteTkZfIYy/fQOGuSlKyIgkK0bHq\no4O4HB40JjV3LpnOgSOn+fTTw7S1mfH6A4zKiWP6uAxMIVqKq1rotjoJ0X0b/DE6JZaM6HDMHgct\nXRZa+vrwCCIp4SEYdSocoger28NX1eV8eOoE66+4CbVMDoCIiNPvp9NtY09nGVJBxOu3s61jF+V9\nGjL0E5gQMpojvauJ0Uyi3voBTn8fvc6DyAMliJ4jBIcsQyb76RdXPV+32Dc/4q+eeQxyUZGgVs1C\nqryENtsaMgxX0OHuoclVT6RqBFa/nHBlKi1OCzHqSJx+Dy9VfkWeKR2tTEKw8myfr1oqI9UUSmVP\nF8nGILrsdr4qKWfp7sOkBQcTZzTS3tvP9OwURiRGI4pQ0dDBvVdOYsWGQjLjw7Hb3ew7VEOwUcu6\njcVs3lFKekIYUyal43X50WqUxMWH8PZfNvNf79yCTCahaN9pFt81HZlcStWJBrrbLFi7+3hw1p/o\n7zDj9wWoLxoI33x+8+8uhqIH+QHRGbXc9NQ1rHzhK6JSI3n13uU8teoBPE4PGz7cR9nhGl5c8xCj\np2Ty9JLlRMQFkTkqBYVCxt5tZeSMT6a3q5+FC0ZCQODI0Voqqjtx+r0ERFDJZJRVtxESrGP/iTpO\nNXdzdUEum0+cIkirotlswepyE6rRkxkewqjEaFpsVtqdVopb25icnIgTH9XmbrLDBoyBTq7i3iEz\nyWyNJFytpdhSSZurjWtir+Rg73a63O3U2Ztx+PrY0/k6OaZpeHx9qJVaPE4zgkTL+W9R/7j5b91i\ngiDcJQhCuSAIdkEQSgVBuOe7kVuDXHhE0YPDsYkOy+OY7auIMVyLgAStPIE6eyU7Or+gsu8EI4LG\n4xJFXP4Ap/qbCVUaCVYEcbq/i3RDxFljjomKJVih4fXCwzy5cwcNPWaa+/q5d8o4kkOCUEqkDIuJ\nxOvzo1Eq0KoUVDV18fnOk8iQ8Mn6YzjsHvRKOY8//xVzLsnmD49fwfWLJ/Du33YhBgLIFVI+eHMH\n0+Zk8/qza9n25VGKD1YTCAQAWPP2Tobnp2Oz2IlJCcPS2U9ydhxej59fvnYrycMS/pE6BvmRk79w\nDMk5CSx7cDkJQ2J445EPObG3Evw+JswZzo4vBpIZf/bAJVh77UglAqFBagwmDdNn5ZA7KpmPVxyg\nvqaTz1YVct2iMUwam4bd4eK2q/MxGTTYHW62F1YhQUCtlLNoQg7PXDOLK0YNxahUo0DKhOQ4Pisq\nZVd1Lae7e/GJIk6Xn7lJGRR3dZwlc521m3JLO181HSdDH4/N5ydaE06wIh6dTMOuzlU4/B58oocW\nRzkSiYIO+1H02tkgy8Tl3HgxVH3B+aeGQhCEu4HXGAgfXgu4GWgK9vyFEW2Qf4TPV4fLtRqdejax\npl+jlMVT1fcVZk8dqbp8JOjw+H0cMZ9EISjxBHwMNcbzcNbljApJYnZ09lnjefx+ijraaLb2sSAl\nk8LGZtr77WSGh7Grohary8NjCwq4fPRQpg4dCF/eX1JHXVsvl00axv6iGvqsTppazFTXd6LXqdGo\nFYSF6tm/p5LY2GCsFge7NpdQVdbKrvUnKCuq57Xff0lwuA6FUs5TN72J2qBiy4q9KDVKiraWEBxl\nQm9Ukb9wDJfdNftiqHqQC8Tc22egM2lIyIik4OrxXHp7ATtXHcHRZ+PQxmKqihtYdNtUUrNj6W3r\nJTohlJnzctj4xTFcTg+xccGcqmhhyuQMDHo1MyZlkT8qlU++LmTuuCz+8vAVZCVFUnyqGZVChkwq\nQSGX8sqmA3SY7TT3WNh48hQGhYIInY54nZEYnYGmfgsur48Ox9le/2FBMcglUg51VfPG6a2MD84h\nQROHO+BmXvR1XBn3CyLVw8gJuhypIEUmCUMpj8fua8Lp3oPLtfMiafrC8t+tQm5nIBt/iCiK14qi\nOJKBZMolZ8q4DHIRkMszCAl5i35vLQ5fFaLop9F+CLffwbjQa/CipNXTRp2tBpWgI1YdQbe7H6VE\nQb2tm/lxZ1fr+ePhXRxqbSI/Jh6JRIJSKifWoMekVNLQY2FedgZbiqvYX9mA2TZQuu1EdSutnRZe\neH8bbV39PHXXXJLjQogKNxIfbqKt3UJ7m5kPVxwgNERHb7eVD97YyYSpmdx83yXg9iKRCtz00Bws\nXVaqTjRQW9xIRWENcUmhmCJM+N0uak808OBbv7gYah7kApI+MoWCayawfcUeRL+PTe/vZszMYSiU\nSjweH0/e+AZ+v59Ft06lvcmMSiknOj6Ens4+PnxrN+++upXICCPtTWbeeXc3q74sZPf+U3y+9igj\nhsSRlRzJJWMzKK9tx2x18E180PShA+H4ComUlt5+bE4PPVYHIRo1vf0OzE4nG6urKOlq58kD28+S\neVHCKCaGZ4AopaK/nrdrvyZNm8Vx81GqbU0kaDKIUGWTop9Go20fTr8Lu6+NsODXCApZdsF1fDH4\n74xLGgPJjN9Ncnwd0ADJ//gtg/yQiKKf3t676el/C7u3narev6CSBeETFXR72gjgYoh+Eja/SED0\nMy44D29Awof1Oym3tHLSfHbkS12fGQmw/vQp1ledoqKrk2iNnl6Hi1d3HsTidNFnd7G3sp4jVY0c\nqmqkrq0HrVqBUa2ipcOMWiln5NB4dCoFcwqGMWViBh9/fIDSkmaiY0wUH63H3NWP0aihrqKFo3uq\nALjloblIpVKWPbGKKQtHotWruPT2aXQ193L5XTPp77aSPDwBtfY/r5rsfyK3PncDMoWMFU+tomhH\nCTs/PcA1D8xh+qIxmDv7ee6OtxmRn0bO6GRa67r4+PUdxMaFYDCqUGuVaNVyams6OVZUz45dFVSU\nt/DEg/Ox2l0s+3gv+47WkJkYwV9X7uWhpWvwBwK8fPNlaORSfP4A/XYnv5w6Do1Mzm+mTyXGYKTP\n7eJYczM9Djvb6qv57k9hsj6MMSGpdHlsNNrNxKpDWd2yFbPHTJu7HT9+6h0V6BUJaGSxqKWJmF1l\nONzHsdjeu4iavnD8d8ZFDXw/CqztzLOOQS44giBFIhtOn30LUkFHuGYu7c5ybL5uRgQt5nDPbmz+\nXmQoSdKlclXiXLKDEnko83I+qD1wTimEboedzOAwbhiWy43DcilsamFUXDSN3Wb6HW5GxsXQbrGS\nFRPGPfPymZOXwY7j1VisTrrMVto7raTHh1Hf0ktzm4X6+m5Ky1pQa5S889YulBIpMsDvCZCUHoFW\nq0apkJI/K5srbpvCkW2lnC5upLu5B5vZRtHWk0jlMj56ZhWvHv4jz6597GKoeZCLxH1v3o4gEWiv\na8dutvPJn9fQ32PDFKrn4MaT+Lx+rl5SgADMu3oMi27KJyUtiilTsziwuwqP20dksI7wYB1qlYKX\n39hOXUM3WamR1DZ1U9vQSUVdGxqlHLdnYFP9+okjcLn8+P0ib+85SrzJyB2ffMl94ycwOT4Rh99P\neVcnIyOj8Z7ZH/yGy+LyeHXkLdyZOpdulwObz4FSCCNIHkSyNo8c00SaHcfQq4Zg8VYjlyVhcR9H\nrSrA6VjD2fftPz3+t5vz32hjsO3fRcDhWIXN8Qlufw06ZS4+9BztWobF00Kl9RA2n42RQeMAAwVh\nEwHocdt4rmwNmYYo7sksOGu8LQ2nSQ8Oo9vmwOr1MCM5GY/Xj0yQYLE72XzyNGuPlqGQDfipAfKH\nJVJyqoXG5l4kAshFCVt3l9PSYmbHnkrWrztOa3MvXo+PlvouhgyLpc/s4BcPz2bEuCR2rSnihntm\n4rS7WfHCOibMHY5aqySvYCh504dRX1KHpbOP3hbzhVbvIBeZ2T+fRlxmNN0N3QybmMaqv6wHAvxp\n9b2Mm53Nyr9uJCImmCW/X0hdeQsKlZy2ph6KDtUQGqojPz+VufNzuf+eWfz8unwunTWckdkJFJ6o\nJy7chM/rx+sNMCUnGcsZF+/dl0xAIZGglsmZkBhHkFbNydYO3jpUSL/NRahKw/ioBCZEJXK88+xi\nIi0OC3VWM2/XbOLL1iPMDJ9EqbWEk5YyGh0NlFj2o5Ul4BdFYnTz0CnGEqq9AtFvxWp9Fb//3OKY\nPyX+p1Dkf2Zaf9om998Ul3M7Hr8NUYii2bqBXr8dP3GoZTHIBCUtzgZ63fuw+mxkGlIBMMhVhCtN\neP0BFFL5WeP9ZuxUbB4P6nQ5ckHCNRtXkhEcglQAnz+AQiJwR8EY3t9xnIIhKYQYNHi9ftq6+8lO\njCQ7JYrU6FCMWhXZaZF8trqQloZe7rxzGnu2lbN7ayk+p5drb56IGIAxU7Pwuv0EhxvY/fUxrGY7\nljYLOqOG6mM1yORSmsqbyZmaxdh5/1GpS4Oc4a+H/8RC/Y2U7qtAplBy8OujzLu5AEOwjo9f3Mi1\n98/BEKRh9/oTWMx2BLmMxNQIatMA1QAAIABJREFUllwxEmOQht/9ZhUrPzlEaJSRPqeHLquNHouD\np351KaZCDRqNglXbT7B86zH+ePtc4iOCmJGdyu7KOjaWVBEdqidCp6XX7kClkhOu1lLbY+aNokM4\nAl42L7qZINVAzoxMkCCXSgmRB9Pi7GRLx1HGhaRwX9rtmBRGtnd8SqOtghhNFGHqIRT2vwOBSrSB\nWhRiNw7HWgyGuy+yxn84/ifj8qIgCN+t3vbNiuVlQRD6vnNcFEXx+6XzB/kX4ve34Q9Y0Kjm4BWl\niM4TKKQhRGgXUmjZQZO9my5XJ3q5kTR9Gk7/QJE8uUTGiOBEhO8tNnc21vJp2UlUUhld/Q7cLh9a\nuZx7J4+nxdzP+7uOYgpVkRQRwqwRGRg1A3sflQ0dTB+VRlt7H22dNmQ+AbVCRp/ZSbBBQ/AQNdu3\nlHLdDfmYO/rZsb6Y5touXvrN59j6Hfzh3dvo7ehj44p95M/NYdPyPeTmp9FQ2Yqrz4pCreCFrU9c\ncP0O8u+BVqvilYPP8sDE3xOeEsTxHaUc3lKMFIFfvXELGz7Yx4Kbp3D9PTPZ8fVxrryjAIlUwjMP\nfcqYaZkMGxbDls2lxCaFMnZcKkhF3v70IN3d/fxswRg0agULH36b7IxoZFIJ/Q4Xx6uaCAREtHIF\n3TYnSqkMKRLijEZKuttxB3wEa/UYNSoC4reusSiNiQi1gRcqvsQk16KW+hgbPIpgZRAAI4Om0+go\nweKp4pj5FJNiPsPra6Gp5xeoJGo8nv3Af6Zx2cPACkX/veO7zzx///ggPyCCEIRcOQ2poMRu24Mn\n4CEz+BcYFdkcMR+g01NLABkuv4MGRw8vn/qUXw+5mX6PG4NcfU5uy2lzN7WWXoIVGgwSBQatkpbO\nfm79aDWCD9KDQnA4PFgcbm6bOVCBuK61hw83HCNUr2HOhEzkSOnq6mdMbiI93TY++ugAaYmhzJ0/\ngkAgwMTpQ7j2lklodUoWj3+GmISBWmav/2YlPe0W1CoJly+ZQU5+Bl++upHG0kYefvcupNLBYMT/\nZIaMzUChktNS2YIhIoSnrn6Z2KxY2hu7KD5QQ/b4NBbcMIGiA6dpqunkVFkLANUlzYTFBRMVZSIl\nMYya6g7WbS9FpZOzYWcZh0saeer++YSYtFTWdhAdasTv9zM8KQZnwIs34Kemx8z1E3Mp6+xCKZcT\npTNQaenC4nQyMiSG5WVFPDhq4t9lLeyuxyTVEfB7EZCwsf0Aja5a0vWJVFkPkarNJFqVyfHej2i0\nrqPDsYNYVQESiRK97vtlFX9a/NM9F1EUp4qiWHC+jwsp9H8iNttfEQQ5jf3L8Pl7QWJEEFTo5GFk\nGKbgCoCSYJqdvYwKGs4dyVdysreZd2p2sb2t4pzx5IIUUYSnp87g0UlTcDi9eD1e5AGYmpZEXkIM\n4QYdaw6XIYoiDe1mPttWRFSonr5+J3sP1WC22DlR2sTvnvmKzz4/QnpqOIWH69DqlBzZd5qdG08S\nGm5g55oiQiOMPPbXG2mubufIthJGF2ThtHvY+M5OVr+ykf1fHMTS1cfIGcMvgnYH+Xfjb8X/hRgQ\ncdsdSKUCEbHBVByu4dFlt5CYGY1Wr2bGwpEc3lbGDXdNY/bleVRXtON2erj++gnYrW5uvXkyQUFa\nbP0evG4f1y0YiVwmZdG0XJJiQvjZsx9z71+/5i+3LODVmy8j2mjAYnex9kQlYxJiKWltp7vfhgSw\nON3UmHvY19KA0/tt6fwUfRh2r48Ot5l2l41WZxcN1nbCFKFEKGMo7duHK6DEKI+hyrIRp7cRryhB\nhhSnqxBRdP1zJfzIGcy2/5EgyIbRa/sYiRCNIDESpZ2BN+CnwVHO3s41OPxOunzdCEhpcVpY3bKf\n4721hCgM/Czl3HY7ckHCU5OmU9LazhuHDtNotmBUq3H5AhyvbWFYTAS3TBvNI5dPZd3Bcu7965f4\nfAFmjs1gyohkWjssfLWxiIToEBZfOZqRuYls21zG0GExfPLeXuxWF3HxIezfVsahbWVMXTCc2MQw\nNn54gAlzhrPtkwPEJIXR3dRD2qhEEobE8urh8+05N8hPnajkSIZMSMfV78AUqufI+uNMWjiKmKQw\n1i/fQ21ZM9MuyyM6PphNnx7mZ0umIZUJtNZ0M2X6UEJCdezdc4qk6GCMOhVBBjUfrDqMx+vDanUi\nk0po6erDbHUAcMNLn7C5uAqv30+32UZ5Wye1XT0oJDKsDjdZwaH4/KCXK2iwfrtTEKLUcW3ieARB\njtc/UBGjqK+KEks1DfZWpBjodjchCCrsfhuugAO5PBuDdj6i/zR2+4cXS8U/OIPG5UeCQp6O3deJ\nx99GgvF6YvRzKevbSo31MEppCAIKvAGQIWe4KYNkbRQ3JOUTpjTiC/jPGU+nVJISFMyI6Cjuzh+H\nSa7C7fWhkEpxe/0sGJnFyORYQvQayus7MKqVxIQbOVLcwLGTzcREGEmKC6XoRAMlJS1kZUSRnh5J\n7vB4EhJD8fsDmDv76e20kpwVzVW3F3D6ZANr3t1JQ0ULbqeH1qo2Rs/KZu2rG3nr5F+ITvrP6zM+\nyD/nzzueIHNcGve9cSuIULKrjA+fW0NYTDCGYB1SmZTh49Ow9Tk5tLOCGXOHI0gE+ix2ckckEhVp\nRCpAcJCG8opWSitb2Hu0hoBPRCYKaGUy7rkin7LaNm4qGEVGVBgywOH1cqymCZ1cicXpIkKjx+71\nkWUK5rKUIZiU3+ZeCYJAQVQmXjGAyx9AKui4LXkRUomfVlcnkyJmo5HqABUBQYJKOgQBLx5RwKC/\ng0Cgj4Geiz89Bo3LjwC/rwUBHX6JCREtekU2Bnkks6N/T1nfSUQxgM3vxydKSValcH3CLBYnFhCj\nDeXnqfkYFZpzxlyYPoRdtXU8sG4j965ez8SUBHKiI3l4xkT+fM0cGrstONxezFYHbT395KRGoVTI\nyUuPJTJUz4jMWOQSCXfcPBmFXEppWROxUSa2rDtB2fEG3A43IqDTKcidkIZCKUOrV3Pn04toPtXG\ngtum4nV7ObyukJ7WwbDjQc5FoVDw6oE/MmpaDnkzhtJa3cH8W6aQmBFFaJQJgCtumcyQvESUShnz\nFo1GrVHwyjNrSU2LIDo2mLzcBCaNTcXt9JEQGcTBo7XUNnbR2WOlYGQaL322h8ff28yI5BiSQ4Px\ne0Ejk9Hv9JAVHsqIyEgyQ8Ox2Bw4/H5ePLKPn2/8gqre7r/LGaLU8vTQRdyUOI3RwWnkh+RS3tfA\nbUm/wOLpoctjIVVfQAA9LtFKq3U9lZ2P0G3fiFQafaZl+U+PQePyI6D//7F332FWlPf//59z5vR+\nzvbKFnZZ2GWBpfeOIooFezfGaNRo1GjUGJOYxJZiRBONJvaIKEoLVUR6WZaFLcD23sspe3qd3x/w\nQ0k+388n1cXkPK5rL2B29j0zr4vde++Ze+576Hm6B25Ehgq5opBq2+/wh+04Qzb80SA9gR7M8gTS\nVVmISi2B6OnfhAb8//NKCL84tJe7N21Ao5Bz9dhCluSPZFdtE0dbOvnocBWH6tpYc6CSms4+TDoN\nl84sZGDQw9WLxlOYl4JOreREbTdHylro7Rvihmun0dvh4NjhRkL+ECerOigozqB05wlWv/o546eP\n5J3nNnLv4md5+YF3CQXCrPnlnzEl6CAKl92/9KuMM+Zr6Ier7kOQweOXPsedM37EK4++j98bRJIk\nrrtnISUz8+nrcpCbn0JleQtv/X4nv3p6I2tWHWbqxByUChG7zYPVqMGoVXPVogl09jlw2NykxxmJ\nhCJ4gyEunTiGNIsJjy+ATq5kyB+k3WbHrNLQ7nAyM3kEkhRldU3l2XMzKbV0+lys76ig0t7KT0+8\nzTFHLWX2ClLV2ViUFtxhB9mGC1DI4vCHHQQirdi9OwgGqwn4tw1jsv8+scbla0ChuRx/1IFcTEUu\npqGQpVA/tJ9mdylGRRppmhzuyL0bvcJKr8/NwcEaenxOflq5kVD0i+m9bX4vZT2dKEWRQa+Xt46W\ns2JsEQMuD0ShMCWJMSmJdNmGuGFOCROyUxny+mlo6+fbV8ykqqaLNVuOsWxBEUatiosvKKbqeBsv\n/2Y7o4vSuPvBC7H3DKGQy9j60RE6m/pRquVIksTOj0tJSrcgiKBUCkhRiYPrjjJ6Wh73vPCNYUw3\n5utAq9eSMy4LKQwBX4D1v9/Jbx58lz/96vTSUDWVrRzfX8eIrDgMBhV//vAIQW8QkNj+aRVL5xUi\nE2RUnexkyOll3bYKbl42hfuvm0dbn4MXPtrDPRfNYH5hDi53AKVMxKxRc3HhKPyhMKFgFKtaw/bm\nenLMcZT3dRH90hv29qCHFFU8uYYk2rxOLk+7EJUoB0GgydNMk7uc/QOr8IQH8GFCLh+BSjkOX7iT\nYPDEMKX67xVrXM5zHs8qosEK/JKOPv9ePME6Wr21nHSuJ11XiD8aRkLLWy2rmJc4lRJLAX9uP8rR\nwSaeKVlxzqJgpd0dfNpST4rewMoLLybDaObjyhOMS0lGp1Tyyg2XUt3ai0Yh52hjBydbennuTztZ\ns7OCHrsLnUZBnFlHdkYcu/bU0tzSh0atZP7CMVywdBwWk47v/OASUlMt9HfbUCrl/OT129ix+iAC\n0FXXjVanIRqMoFTLCPkD3P3ibcMXbszXym/3PwVAxONHkAlEo1G2rzrAYI+D6tJmPt9QzsmKNsxm\nPW67lxtunc2rf7gdrytAWqqFa1ZMxqhX0t7toCA3ic4eB80dNsSogASkx5lYWJzHwrEjSbOYONXR\nR3lrF2OTk5iWmU6eJQ6LSkuyxoBMEKj40hv7D45ZTLLGhEVhRi4oUItqSszj+LxvN8nqPGwBBwZF\nNkXWOymOuw+jagoyQYlKvZBAYA+hUPMwpfrv8zcvFhYzPLye95HJx55+fVWWiS/iYnzcHezrW8Ux\n+wEGAr1oxXQcQS+t3i5uyVmOM7iVI4PNLEopOlsnFI2QojNw4bR59HncJOr0/GD+PAa9Xr63ahPR\nqER1ew9XTx/LDbMmIJPJqGzson9giCSrgYkFGchFGTmZCbg9fq6/agpJVgMalQJBEDAaNbzz6k5y\n85JJSjER8fr5+Zt3YLYa+N0Ta5g8vwDNtJFMmDeG9b/bQvXn1egtWgom5w1fuDFfO8u+OZ9Nf/ic\naYvHMOvC8dQdb+WX33mbpz+8j7b6PpQaBW0NfUgSPPnA+8SlmfFFIqRnWGg4aefosVbSM+PITY+j\nrqmX/dXN2N1elBo57247yq1LJ/OdC2fQ+5GbxgEbc/OyqB+wsbqykow4E1qFgs31tYTFKB/WVTMh\nKQ0AhSjn1pGzODxYT64+lYMDJxhtzCAiSWRqR6ASvNhCPZwa2oxcspOqySJDPQ2PfxOizPh/XPXX\nU6zncp7T6u9ArphMkvEu4rTLGGm5CbnMgF6ZgiNgI0dbwJLkJdyRcwvzE0+/7HhX3iIytAmEvjRK\nbGdbE/ft/DMfVldx7ZrVPLhpC9GoxFsHjtJkcxCMRvjTgQr6nB5kMhndg0O8u/0oy+eMRa9S8d7G\nUvYerudbD7/Ha2/uYfKEbMYVZ1Jb001GupXjR5q54NISEhINDHTZ6etyUjA+g1UvbEGjU7J3XRn9\nnTbmrZhC4pmHsS+VPjMsmcZ8fd330jdQ61UcWF/Ou89vwGDW0t06gMfl48JrpuBz+1FpFGi1CojC\n95+8jOQUCx+uPsxgr5OkeCMapQKPJ0g4FCE3LZ6Fk/MZcvt5f0c5AP5QmJYeO6Ig46UdB1lfcQJP\nMMTJvn4UkoyRZisuf4ADnW14g1+M9BplSmZqfC5aUcf0+CKqnC3o5QYMChPFlpn0+FooNF1JvHYm\nExN/QrvrY3zRCDrD94lG+4cr0n+bWONynvMGq+kZ+hU9rvUEIgP0+VsRBYnJcZdRaJ6JOyzR5u1h\nvGU06dpk9vTVcMTWyO15s9ErvhgyuSAzh5L4ND6qrSYQClPR3c0z23exraYBAVhePBqjSolSJuLy\nBWjvczAuN5V5E0aSbNGz51ADHn+QudPzuHTZeOIsWuLjDRh0Sn7wwPts+aSM6vIWgoEgDdUdLLh0\nwulnLWtKCbp9SOEo/a19vPPUGvasOcTjq75Lem7q8AUb87V19wu3AGDrHKS3qReVSs6zd77BmJIs\n0nMSmb+0mLy8ZLYf+wnjJ2Xz1NNXMTI3mcceuZjLLykh6Auxa38tlTVdRKMSZVWt3L5sMo9cOx+7\ny4dJq6EoM4khlw+310+iTo9RVPKHKy7juuJxpGoNBMMRvKEg3X+xkFiy2oyEDAGROmcz6zv2cGig\nDLMiAYPCQo3rMCZ5LvWO1UQwo1GMwu78EQ7Hw0jSf9byx7HbYuexaDSK07OWYNRDCBMyUYWEnAbX\nEY47KlCLaYCcWlfj2a9JUBkQ/2Il6qFggA9OVTA5JY2rCgp5o7Schdk5DAx5+fRkA+kmA/lJ8Ti1\nfuo6+xGADz+v4KbFJVTUdRIMRvB5A8ycmMNjP/6EgV4nCkHkO/cspv5kF1Nn5LFgSSFH99ax45Ny\nvEM+Lr15JrdNfRJbnxMxEkVnUtPb3E/VvlMUzx3D3Kv++sXOmJi/xQU3zua3330L94CL+OxECqfl\ncnRXDe31PVx390IikSgLL5vAoV01rHpjL4FIhOQMMx6vn/4uJwV5KWRnxZObG8/PXv0UbyRIfkYS\nn5XXs6uikZ99cynFGSnsrWkmGI4ikyBBr2PjiVoCQoQWtxO9QkUgFOHxvdtYfcl1Z8/NpNRSYs3m\n4/bdCHjJ1mcil8nxRLxYFMk0uPcQDLchSp3k6kbR5vqIScmriEY7EYT/rB/HsZ7LeSwc6UGS/Og0\nl2HRLyFVfwEyWRxH7duwB/upGjpOp7+VCebxAHR77Ry3t5JvTDmnjlwQONzVwW+PHmbtqVPMzhzB\n20eOUdPdCxGQSxLzR+cyd0wOyyeP4WRLLwpRxrubyxidnYR9wM2cqXnI5SJGg4arr5jCissnEQlH\nue2uBZTtrWXfjpMsuXQCfe2DjCrOwDnowuv2o1DIQAbxCQayCtOpLa1n2R2LkMli//Vi/nFPrX0I\ngIHmPmQIKFQiz91zehGu1a/u5PVnNlFT0UbJtFyS0y2YrQYe+95q9u2vw2l3kzcyiXfXlDIw6EYp\niOg1SnptLg5Wt+D1B6lq6aYgNZEfXrKAVpuD+u4BJmaksnxMAeMTk1FLAsFImASNjshfrPOyJGUs\n3xt9BdPixzLaUEAgEqTV00TtUA0yyYJVlU28ZioZhpvJNH4LSQCFouArz/DfLfYdfh5TKlIxmx/H\nG+lEpyik2vEBPb4qLkq5j9GGhUiSmjRtDrVDHfgjAd5u2sOnPdV/VWdPRwupOj1XFRSyoqAQhUwk\nxWAkQafDqFYRCp3+5ki1GpmQk8aojAQeuX4BE/PS+Plr2/D5QzhsHj7ecJSrr5iE2ajl8UdWU1vb\nTf3JLiKhKCISv/j+h8gVMh594QZOlDaRmZeMz+5Fo1MS8AQ5tf8kcoXInCtjvZaYf8742WPO/vTa\n8tZuBjvsNFa1U1/RSnpWAk0nO7npnoVMnjGSnuZBJk/NYdSoZLKz4mlq6OP91YfQa1QoRBGfJ8iR\n6jZcQ35GJFvYdqSWJ69ZzLS8TH67/QDxWi1SFOxuLyPNVr49ZQrucIhgKMrejlZ+8hdLIFfbO9HI\nVHT6HCBE8YQjHHdUYlAmMTXhIvqDg4y13ogzVEWPdxveUDOSFCQQ2PcftYDYf1Y/7D9INOpl0PkS\nGvV8RDEXW6CGEfoLiaDHGXJS7jxIFCAqsihpJsFomOXpk/BHz51KosE+yDOlu4mXa8k0hHC6AzT3\n2ant6iOrwMzlY0ezsHAkGuXptV66Bpy88NEenr7jIhKsBi5bMA6/N0hrWz+f761l4ZwxaLUqLrqo\nmDd/u4MfPXcNcfEGiiZk8tjNr7Hi9rm4nV5efmQV42fnI8hAJII1xUJnDUxYVPTXFxsT8w/Y5nn3\n9J/v7+f1H6wmJSueN362jmc+up/OlgHWvr2Pw3vrGXJ4+ejtA2gMKp76yQp+s3I7TZ0DNLUPsGJJ\nMR9uPc6v39mJ0aBm5qSRpMWbANAqRHRKJTJBRqbVzG/3lfLa4aNYzVqMcg3Z8RbafHZODZ77MP7w\nQBMTrZlckDKJEksuPf5edvcf5Kasu1DIlPjCHfT5W8k3XkmW8UoAgsEavN4NKJVTAOVXmuO/S6zn\ncp5yDT2Px7+BHtdLiDI1nZ5yKu0fkKhKRy3Gk6HNZbp1DjPip/NS/cecdLYwxpxGiTX7nDp6pYpp\nyelcmV+EVaHGIFdSEB/PzOxMhtxeDjd1kGT6YvWE8vpObr1wMqeaeli3s5IZE7I5eKSRI+UtGHQq\nEhMMuFw+mmp76e8b4rVfbaVkWi5PfOMPdDT3c+23F/LsnX8kKkk4+py8fvjnXHHPUvqbe1l0wxx+\nuOqhrzrKmP9wS66bQWK6FRkSdcdbaantYum1UymZmceQw4M1QU8oEKKny8G6j8vIz0niiktKcA8F\nMGjURKNRpBAkx5voGXTyzrYyGjoG+MkHO6ntHGDI40MuCRTEx6GVi7QP2gn6w4RCEbINVqwa7Tkv\nVI4yJrOyZicqQU29q4PN3YfJ049CFEQ2dq1CJ0+gy3eKfn81vd5SKnu+Q7v9CcJRD37/zmFM8l8r\n1nM5X4mjiUS3MCQFSFRnUBg3jzbPUcyqDD7p+gSl7PQtsf2DFTw2+kYikkiPz0GyxnxOmWSdnpr+\nQQ63diCEZSSotGTpLRQkJ5KiM5BhHiAz7ouv+XDncVbMLcY24GZyYSYKucjj9y3lvdUHOHiwkVWr\nDtJc30tfuw0xCiF/kN/86BOqSpvJG5tGJBylv9uBRqukuaqdlff+kbgkI47+IW5/9j97/YqY4SEI\nAktunM3G1z9DpVHy+NUv8n7Fc/zojjcw6pRkjUnlmw8t5eMPDjHQ68TlDXKivpvsEXG43X6yM6w0\nttl45MZ5jM5L476Va3nyza2ni0ehY9AFCjD61MwfnU1fwEu9YxCjUs3sjEwuyM2jw+Ug03h6kbB8\nYxKjTcmsbT/CCL2Ocls9SxKncGBgP9GoyAlnGUlqK3u7n0XET7FpLjbPZ2gkD8FgORrNhcOY5r9O\nrOdyvhLkJFp+RKrxRhRiBmZlFtMTv40v4qPb280hWxl9/n4eyL+ZHEMaVc52mtx955RwB4M02Af5\n+dxFyCUZWlGOTqYkUa+jtKmDlgE7s/Kzzu5/8EQrM4uy2F/eiFIuMn9KHm5PgLdXHaC8oh2ZJJGY\nbOTm22ZjjdPR02lHrhRprukG4PGVN/Lmz9eRXZCC3qAiHAhSubeGHe/uJm9yDvFpcV9lgjH/RS79\n1gK+/dz1TFo4Bnufi9LPqpi1tBinzc2J8lY2fXCY+YsLOXKgHveQj5zsBCw6DddcPpmc1HisRi1V\ndT3IZAIzCrMw6zS8c99VCIAggU6uQEJid1Mrxzt7CEckulwu3MEQD+3ewhXr3z97LokaIw8XLcUf\nCfFx22GUMjVtvh6ydXksSFqKXKamx9eFJ+JDKVODPBmr5iK8kX4EMR9J+utZzL+OYo3LecjjfgNB\nsqNSjCIgSZy0v0WTazsAapkWmaBBLiiRCyqGQh56/Q6uyJjMjIT8c+q8f6qC54/soTA+ibkZubQ7\nhugacvFZbSNIsHh0Lk73F4sVZSaa6be5SbDqWThtFGqFggeeXM3BI41IkkRGehzrPyojc0Q83S2D\naNQKelptXHTlZF7f/jCiTMbnn5QyalIOP3rvXibMKSA+5fT962sfufyrCzDmv44gCIwszuTkvjp0\nejUb/7ibq+6Yh73fjV6rxO328/qvt6OQi5gMalITTahUcl57cw8j0qxctqiYy5eMo6PHwdqdFejV\nSkxaLQqZABHQy5UIEQG7y0t+XBzzs7MZY0lgfe0pKnt6UIgyBryes+fjDvkxKXRckj6dBYlT6PUP\nIApytvRsIl6VzkCwBQkdIUmBTpFPdvwviTd+F6/rWQKBPcOY5L9O7LbYeUipmo1MZqTbs4Nu91ZE\nWRwNroPEqSexpuNDAhEPIUnJhs4dxKtS2D9Qx2NjrvqrOnMzsvjgZAUfnKwkXqvh9pISKjt6eHLJ\nQrYcr+HTEw243AH8gRBeV5CVH+9len4Gvf1D7DDXcLKqE8eQj9eev5HGxl6MBg1dHXaikSi33buI\nPZsraavv4aUffsKa8qco/bQSg0nLhle2U7GjgsFOG71NPaSPSmXKhROGIcmY/yameAPLv7UAZALb\nVx3E6/bz0HPXsPWjUjRaJXc8sIQhl49Xfr2NAoOGkTmJyBQilTWdDAx5SU408NJHexHkMmQSvL21\njAtL8tlQVsukvDQ2VNah1MjQyZXsbmxFkksExDBqmRKzUkN5XxdLsk5PZxSMRkhQmRlnTeLNph3k\nGPSU299jgjWXydZZ6OUGZFIvra5N9PmOY1Zmo1CVIERvIhSsQq3++i/uK/wnDX37e0yaNEkqKysb\n7tP4K+FwK4HAbnS6m/GGOjnU/V2UilG4pES0cgtltjpq3c0kKPLI0Rdxe+4KApEQmzoquSCtCJ1c\ndU69g51tJKi03LluA08tWMj3128j22TGICp54IJZqOVyAqEwx2o62VfVzK/uuQRRJkMQBD7ZdBSZ\nIGNaSTYfrjlCf6eDe+9fzKvPbWFwwMXkaTmkpFvo73Sw5PISXvvxx8xcWszrT6xBp5Pj6LJj77Px\nbtPLJKYlDFOiMf9NWms6efG77xJBQKNT8dT793Ln0l+SmZ+M3eHl4eeu4g8vf0bumFTKjrbQ0NqH\n1qJF1Mhx+AO4wkEkuUBGmgW/FOX5uy7mmhfeRy4XiKpOv09zz5IZ7GtpYzDgps5lw6pTE5JHSDTo\nWX/ZTWfPZW1bOXq5mjSdjkMDlUTx4g7bSNXqCIbtjDePRy54UQkeghE7Pu/rWIQIWmUuCQkfDmOK\n/ztBEI5KkjTp/9rvK+/PKzMgAAAgAElEQVS5CIJwIfAiIAJ/kCTp2b/4fCbwNmA+s8+jkiRtFgQh\nCzgF1J7Z9ZAkSXed+ZqJwFuABtgM3C99TVtNQVDjC54kIttHr28vWaZvUuPcQIZhNh2+fpQyJXfl\nPIRCpqHINApPOEC7ZwBvJHjOiBWA8p4ucs1WOpxDvHv1lRxsamNknAWtTIFOVLK29ASPLJ+Lxx/k\nlLKXWy6YyHsbj5CWZEYIS5yo7abmZDfN9b3MmZVPbXUH37vrbYoK07GYNTgGPFzzzXkoVXKeueuP\nlO6oRoZEXlEakiQx2NbLlKUlsYYl5iszoiCNyYuLqDxYT9H0PELBEMuum07V0SaiEYlnH/sYvUFN\nTWU79kEXhQVpeCMR1DolhVYtR2va8UkRZAikx5lo6raRm2Shsd+OUpJhUmk42NDK+MxkXGELLdUO\n2lxDyJQS6SYTvnAIjfz0sP4J1kzUooIDAydwhiLMiC+gx9/FULiDHl8jvf5a7s57hs/bv0NYqqFA\nPwdBVKDXzhveEP9FvtJnLoIgiMBvgaXAGOA6QRDG/MVuTwAfSpI0AbgW+N2XPtcoSdL4Mx93fWn7\nK8C3gLwzH1/b4RaimARiPkP+vcRrFtLk2oJKTKTCcZjSwa0Igsj+gaOs6djOQMDOuvYyflDxEcsz\nxmP40lxiUUni0c+3sbG+ltr+AXbUNxIKh5mVk8XIOCuXTxyDRhTZWHqScCRKj83F6k+PY3N6mDkh\nB5fbRzgcQakUqahs45fPbsLrDZGTl0RTXQ+t9b0c2XmCFx77ELfTy9GdJ5AJsHddGcd2VlO6tRxB\nkPHjNd8bxjRj/hupdWpOHaxn9/qjPH71Si6/bRY6nZpb71tEyeRsFl9awrHSZiJhiZIJI7j7jgUo\nRBkdXXZ8vjBquRyFTEZHt529lU38+NolKGUCgWAEohL3L5hBOCrRO+RheuYIxick80DJLL5dPO2c\nlyAzdVZWtxxBJ2pI1VhBEBBlCnL141mUtIKwFKLFvR+v5EAijM1/HIV8JMHgIfz+3cOY4L/GV/1A\nfwrQIElSk3R64egPgEv/Yh8J+P/noDYBXfwvBEFIAYySJB0801t5B7jsX3vaXx1f4DjB0DF06um0\nuLeiFo04wg46fSfxRLxUO6uZaBnDD8fcTYLaijccYLQhnWr7uTG5g0EStTpWVR7nwrw8qrp6KW3r\nZHNlLWPSkshPSaC2s5/sJCsmnZo7LpnG5Px0Kuu6+WBjGcdPdHLv7QswqJQY9Gqefu4abr9rAYlx\nBqbOyiMhycSN9y/mhnsX8cID7xIORwn7g+QWj+DuF24h6PKhUMkR5eIwJRnz3+qyOxeSmpuEe9BF\nR0MvA90Oll0/jbVv7UWpFNm7vZqMTCsEQpys7sTj8pOUYGLsyFQeu/sCfnzPRXg8AVRKOUVZyYzO\nSCLFYkIAvJ4gKoWc2u5+hrx+Xly+jIdmzqLRbqN5yMaL5QfOnodMkJFrSKDW2cfq1j38uuZjgpEQ\nZbbjTIiby/fHvI5M0BJBj1k5G1FuISro0Ou/jVI5efgC/Bf5qhuXNKD9S//uOLPty34M3CgIQgen\nb3F950ufyxYE4ZggCLsFQZj9pZod/0dNAARB+JYgCGWCIJT1959/U1xLUpBAqAG9egkWzTxUYjq+\niBe5LI4EVQ4JynyiqFjX8Rkv1X9Ij9eOTq7ikaJlzEjMPadWs8PGT2Yv5JGZc6ns7mFmViYdNifx\neh0XjM2nsXuQBKOewswkolEJXyCEXC7yzRXTCQcjBP0hfvzMBh68/wLyshPZ9dlJPttSSTgQZPVr\nuxmyu6k40EB6TiKWBCMjx6aRU5RO7cFa3vvZxxTNKuCd+peHKcmY/2aCIDBh3mhsXXYioTAb3thN\nfJKRuuNtOPrd5BemIQoCMplAOBTm4IE6zAYNCLBj10maWgdQK+RMyEtDIZxe1+ibi6aQYjRw67wS\nnt+0h+qOHnKsFvpdHrbW1DPo8REIRrgmf+w556IVVbjCQfKNaWRrU8nQZrE4aS6ltlJ29X7Mpu7f\nYw910xc8hSvkwagqQYq6sNsf+NpPBfNVNy7C/7DtLxO8DnhLkqR04CLgXUEQZEA3kHnmdtmDwPuC\nIBj/xpqnN0rSa5IkTZIkaVJCwvn3HMBh/x6R4B7UytEAjLbcSq7pEkyKVEYbZzEpbiFpmjzGWQo5\n6Wyjyz/ACWcXe3rrz6nzg33b2dBQw4a6Gv5wuIzfHjiMWavhqWWLkUUlylu7OFjbxrjsVIa8AQ5V\nNfPsWzvwBUIU56Wy/3ADyYkm5DKBteuOMnNWPnl5SWz55ChH9p+eot9iUXPTdy8A4PoHLqKrroe4\nRBMTFxax7PZ5zLl6RqzXEjNsbnp8OQB+l49PXt1BV2Mf3336SkaPz6CxqoOEeCOpaXHY+l1s/XMF\nV18xCbfbj9Ws5U/rj6AW5HzvpgVMLMzgsdc2k5Noxenxc7y+ixWTiihKSaLTPsS+5laMChWFiYl4\nQkGif/GTp9iSRr/Pw5NFN3B99iIa3C183LGZCsdxktQ5zE34JkZFFiJGfFE37tAp2gfvJ+Dfgdez\nahiS+9f5qh/odwAZX/p3On992+t2zjwzkSTpoCAIaiBekqQ+IHBm+1FBEBqB/DM10/+Pml8LcuVk\n7J41aCWJWvvrdPvqGAwGsUdEunz70cozeGz04yhlSm7IglPOTgqM6WTrz3058ZYxJXQ4nbxSVkq/\nx8PtEybycXk1RQmJNPbaGHL7uWHOeHRqFc+/v5OAL0Rnlw37oJuuDjtuj58jRxqZNiGHpHgDXm+Q\naTPyKD/QwKmyFrLzExkzIYeEZBP7Nx9nqN8BwN6PDjFmai6X33cRijNzlcXEDAe1Wo3eosXj8IIE\nP7ntVd449FOe/u6fWPGNOUyaOwqZTIbT6eWOW1/nSFkTkXCULdurMJi1lBRmUNPci9mg4eLpY7AN\n+QCJg/WtaEwqjrV2EW/U4w0FOdXTx6OL5/JOxTGqBnrY0HSKByfNAiBebeBnEy4jLEUwyPVMixuP\nRalHIfNTNXSCLE08/SEbFpkTuahGkLToNBciC6UjV4wf3hD/SV91z+UIkCcIQrYgCEpOP7Df8Bf7\ntAELAQRBGA2ogX5BEBLODAhAEIQcTj+4b5IkqRtwCYIwTRAEAbgZWP/VXM6/VigSIhz14Q4exx92\n4A07SFTnsyDpVkyKdFyhENXOUwDYgx7uLn2TBlc3SWrT2Rpbm+vo93n4oLoSKSpx2/gSDjW1o5bJ\nqesdINGgp6KtmwSTHo1SzsIJIzFqVFwxbxwyCUQBHrpzESlJZpYsLKTyeBvZ2Qk8ce97lO+rR4aE\nCBSMy6Sv00bF3hpeefRD/G4fMplA9Z4T/P6ht4cpwZiYL6xpWskW2x8omJSNTBCwJhoxmbUc3V/P\nyh+vp7N9kNXv7CdnRDwbNx7n089OEgpGmDEpG5vDw8p3drHnWBNl1W18sqeSn15/AVFgT1UT100a\nx9NXLObtg+VIkoAsCstHjWZt7UnqbAN0uYfOnsdHLUf4xv63+P7xN3n2xBq2du1lbfs2jtuOUG6v\nIFE5BlGWTrJ2KnWO3xCISjiDx5GJX+8ZLb7SnoskSWFBEO4FtnF6mPEbkiSdEAThKaBMkqQNwEPA\n64IgPMDp21u3SpIkCYIwB3hKEIQwEAHukiTJdqb0t/liKPKWMx9fKz7fZvz+D1Ao8mhwvI1CMZ4i\n6zc4at/F8c63uCjldvYPVtIfOH3JapmCm3Nmc1P2LOSy07efItEoJwf7uChnFK5gEJ1CRQSJmt5+\nRphMaAUFy0vGMD7z9Hovf9xUSlV9Jx5PkOx4C6fqemlvGiA7PQGrQcPmzccZlZ/Mays/JT7JyPFD\n9ajkcvR6NZPnFbDhj7twDLjQGVV4Bl3I1XJUSi13/frWYUoxJuavPfPhfZwqayIcCnPbwxfx2tMb\nMSWaeP7xj+kdcKHUKFly6TjGj89k/sJC0lLMvPbBfg5XtDJ+VAprPj+OVq8kzWxiRJyFBIsOm8fL\nox9vIxAMY3d7+N7mrfQE3QQIMycniyM9HVw68vRA2GSNiX6/A0HuZig8xNS4DBSiFqM8jEauZE7S\npbR7DqCX64hiB0LIFeOJhNuRixZO/x7+9fOVT/8iSdJmSZLyJUnKlSTp52e2PXmmYUGSpJOSJM2U\nJGncmSHH289s/1iSpMIz20skSdr4pZplkiQVnal579fxHReVai5m03PIFVOJIsekzCNVOwmDIhV/\nVOLzgW2YFVY2dx0kIkXQyJXcljv3bMMC0DpkZ01dNUc6O/jW+Mn0Od0szM1hbOLp22EXjy2grrOP\nUakJtPXa8fiDfP+mhfT1OekZHGLJzFEsW1RMU2MvCQkGJk7MRiEXmT1vNFfdPJOicSN4Zd19PPvu\nnRzbU0Nvh43jn1WjN2nRm7X47S6SshKRK2ITP8ScP9RaFQ1V7Vw39lESU0zkjk7FYNJgsWiIt+r4\nxcs3sntXLeWlzQw5vbz21h4+330SlULOi+/sJi3ORJxBx5bDNUzJz6Cmow+LWoMUkkjQaFErFNQP\nDOLw+cgxWfAGQ9TbB88ef2l6MRvm30+mJpUEZRwj9Rn4IyFyDeO4Jfs+0rQFpGiKaBr6HJ1yEoKg\nIxTpweF4AJ/vz8OY3D8nNrfYeSIc6cYbLEUhasg03UGKbh5hKUAgIjHOMoNE5QhKLEVclr4QURBx\nhfx/VSPHHMcYUyL7Otpoczp5YsE8TnT3Ud3dx4g4MyatmgSjHoCtpbVs3H+CD7aVIxNkBANh2tpt\nlIzNgHCUUCjK7DkFLLt0Ap9tPM5PH/gTcQkG0jJPd9XLdp7A3uskpziD9lOdIEko1HJ+tetHX2Vs\nMTF/k8mLi/A4vbzzyz9zy4MXkpCop7fNzjU3zyQ1I44lS4oYU5TGqtWH0KgVJCeYyM9ORIjA9ReU\nIMpAkiRumTcRfyDE6n3H6XQ4cXh85FosTElJRyHJmRifil6hxKzSnHP8CkcH6dpELEoj7Z4hVqRd\nQoOrmR5vN/v7N7KpcyX2YCMnbe/jj7pIsTyPSjkbrzfWuMT800REmRVJlk5E8qNXjmBdx/OU2v7M\ngb49JKgS6fM7WNd+iFP2Dp458T8/VrplbAl3T5hMikFPXlwchUmJKAQZj104l+n5I7hr8TSiUYk4\no5YX7l2ORiFnyYwCHv7WYm66cipWk54DBxsoHnt63MXRAw10tAzQ0TLIkMODe8jHpnf2svb3O6k7\n2kRaTiJqtYL+5h6mXjQBvUn/VYYWE/M3ycpPZfKiIkq3nV6p9a1fboVolME+F329Tla/vY/sEXHo\ntCr2HajDO+Tn4W8t4orF41j7WSWT8jMozk2lrdeBVqnEFw5jVWnIirMiRSTiDTpMShWtQw6kqIAv\nFOJAV9vZ44+zZLAiczL24BB7BysptzfgDDl4r/1dsnVjsaqzkcsy0SvicYR6cAaOEpEChIJHhiuy\nf1rs/sV5QkJFq/NFfBEDMmUh1c5Sis2X4AtraPL2U+uuo8oxSK2rh2ZvF98fc8lf1Tgx0Mfu9hYs\nopq1J07x24sv5t2Dx7B5fOQkxOHw+BBlMnQqJW5vgJc/3EeKScfDty1CEAQmjctiy9YKlEo506ae\nfm/muSc+RiGKGAwqHL1OvG4/u9YdwRinI+gNsOXNXcQlGPDYHNzz8u1fdWwxMX+zWx5dzj0Ln+bX\nD7zLyrX3Y7LqOLSrBkECvUHNC7/YQlCS+NnzV7Hy1c/55e+24w2FueyCccyfPoo9FY0cqG7h+rkT\neHd3OZFgFLNGzfaTDWy5/1YkAZ7eu5s9Lc0UJyWwsbGG6SkZCIKASamh2JLOoqTJTI3PxarUsrnH\njT/i57BtL/HKIhSqOALhIdJ107G530CM9GMUEwiHO5DL0//vCzzPxHou54FwZADb0C/QKqaQqF/O\nYNBNu7eMTk8N3YEeZMgpMc9ARIVGZuDAYC0mpfacGkd7O4lKUU729dHisjMnI4sb3/2IIBEmpKRw\n0+9Wc98f1vPB3uNsL6ulq9eBUi6jo2+Iz/bVcKq2i6tvfRW5QuTxRy4mGpXYtv70FC7BQJiAN0Ak\nHEUmgLPPhUGvZsbFJcy+ZCIarZwnPniQ+OSv9+iWmP9sOYXpxKeZaaxsY0ReEuY4PXKFiEwmsHjp\nOELhKHqditQkC8lJRk7V9dDZaWPtp5U4h3z8eXc1ZbXtjE1PYsXUIuKNOuK1WgqSE7j+rdV8VF5N\ngkpHniWOdIOJg12ttLkcZ4//s8pNbO86iSPk4bmaP3HcXkdfoJ9eXzcN7ip6/D0EJDfJ+sWYtVei\nEq34I14EwfC/XNX5K9a4nAdEmRmz/npCgozBQCVyWRyFxisoibsQEQt9QTsyRKqcTWjkcpalzGDl\nqR3n1Gh02Pj5gV0oZSKX54+hYWCQouREri0Zx4g4M3E6LcVZKVwyeQyrdx5ny6FTeH1Bpo8dQVev\ng/fXHsHvD/HCb7bw05+spbW5n3AoSkqKCYUA3/3RZTz5yi0c21NLbnEGth4HO9/fS82RRtpOdTJx\nSfHwhBcT83e49bFLaD7ZyfbVB9i3pZK1f9iFJV5Pa20vI7PiSUky8fOn1jEyM55brpzGknlj6Opx\ncvXDb9DY3o/XH+T1jaXUdg/Q0e+grddByYg0wmGJ9SdOUd7RhUqUs7L0ECpBTlV/79lj31Mwn2/k\nzsEV8rAsZRZXpl/M4qR5RAU5KtGIVTWSBHUB3vAgweggKu0l6FXFOOz3DGNi/7hY4zLMvN4NuFyv\nIJfnk299ArmYh0bUMcIwiTZvB+2+FkRBwa/r3kItqsjX5TEQcLI844sXrPZ3tvDWiXKyTVbStAae\n3PYZPS4Xb954JSWZqeTEW+m2DVFa106yxcC3LppKToqV575zKQ1N/XT1OBmRaiXeoMZqMTBxUjZx\ncTpK99eh0SjQauSse+cAer2KLe/to+lYC9YkI5FQGKIhbvvZtehNumFMMSbmb7PwyumISpEXH3qP\nSFSis2WAzatLmTF3FMsuK0GpEGlu7mf//npq63tISzJj0CmRCwJubxCPO8i0MZmMSonHF4hQ1d7D\n4bpWHG4veXFxBEJhHD4fzXY7gVCYbo/r7LEtSi27e+tIU8ezrbeMzT0HkcvUTLBMZbxlFm3eOmqd\nO6gb2oFRNRa5PAWL+SfoDbHGJeYfEI30YXe9ysmuuQx4dxEVRDSKEdiCNkZoRwIq4uVpeMMBrKKJ\nNq+ToaCPLH382RoKmciEhBQyDSZC0SjzRuZw36xpbKmu5aJfvolZr+H1u1aw6qHr+fDz4/xy1S4U\nCjm7DtcxZ3IuyxcVo1CIjMpP5dmnr6attofnnlyLvd+FQpQxIieBi2+YTk1ZMwNddvo6BhAiETQ6\nFbZuBxfetmD4AoyJ+TslJJuJhmHKvAIyc5PY8tFh1r13gEOf15KcYCQt1YxaIbJsSTEnTnaRYjWS\nmxKHRhTJT4ujJC+N6+eUoJGLqEWRlj47uVYrDb0DTE5N47rCcYgI6EUl+zpacPh9AChkcnIM8Xza\nXcNk8yhOOTsRUKIUVKRqcpifeD1p+rkUW66k21tKn2cXERREIjZCwZphTu3vF2tchpEkhRHlWchV\nF2PQXIggmIhKEt7IIBWOgzxf8zB+yYdJmUCOPpsrMxfgCHpxhYLn1Nnf1Uanc4gdjY3EabTcOmEC\nAy4flR09OH1+0qwGEox6BuweWrrtyGUy4g06Xl+1jz+tO8KA3cP8WaMwGzX86Z19pKRZSB8Rz9gJ\nI7DEGzCYdVxw1RTefn4jKRlWVFo1GaNSUMplXHzXIkzxxv/HFcbEnH/+eOgpimfm8f6vNvHAM1ei\nEGU4Bt2IoozOdhtd7TZ87gAWi44tn1YxsSiDypouvN4QCpmM7WV1rN9XTSAQwekJYFSqCITDDLq9\n7Gps5mBLG3JBRoPdht3v51D3F3P1ioKMrV1VlNvbyNNnsL+vlI3dn+OPeGnzdjEt7hokoshQYfPt\noWHgHlyuVxhyvTCMif1jYqPFhlE06sDv34ZcWUi3ayMt3nqS9JcxxXoTI30tNLhfxCRKLEiczQv1\naymJy6PHF6bdYz+nzgMTZ3K4s53fHj5MMBzhUEsbgXCYUQnx3DhjPGpRgcPj48Ndx9l+pIZJ2Wkc\nOtbMqPQECnIS6Otx0lTXS+XRFiaWZLFkcRFHD9Sz9q39/OBX1xCJSOzZeJSEVCuyaAT3wBCH/lxO\n2Otj4fVzhim9mJh/jCAI5BSm88lrO7nktrnkFKSSK4r0djtYceM0/vDSZzz7i2sxmzSsfO56CgtS\n8UXCfHa4jpb2QQpyknl12yEAQqEoA04PJpmGUCjC/JwsdjQ1Y9Gq8REmWaOjyfnF9+uNOdOZk5RH\nr9/JwcEKqpyVjDJm0uvr4NPeDzlmfxe9aOLaEY+jEPy4fRuQ5EYC/l3DlNY/LtZzGUbB4BECoXrc\nvq0k6JaRYVhOofX0MqnBcJjBkButaMQZ8THOnEuKJp5bR87kieJlZ2u0DTko6+4k3xrPPZOnMjkt\njffLKglFIszOz0Ylk7OzspG6rgHuunQGswtzUClOT61/xZJiejocbPm0ClGA/h4nqSkm7r72Fd54\n6TPsgy7aGvoonJiFKMgYMyWHBddOJRwIICNKekEqI8dnD1d8MTH/sAuum0E0HOWlRz/gvp+uYOq8\nUdSd6KT5RDfjSkbw8ouf8sgD76NTKxAESE0wk5Fk5ns3LyTRouc3dyxHBmTFmxAQiIQlilOSqWzv\nRqdQIEdOnjkek1LDa5Wl1NsGgNMN2wh9Ajn6BFQyDWnqFGpdtXzS+Skl5iXEKXMxKVSU29aQqFuA\nKBjxSvGIoolQqP1/v6jzTKznMozU6iUoldPQhjpQigmEERkMNHNqqIoGVyMCUXQKE/v7TzDNWsSr\ndTv45sj5Z6d8kSSJJ/fvYMgf4NGpc5ALIj/bvgu5JONwQzs5RjPrjpxg5a3LGbB7uPWZD/A4fUT8\nYfzuMEdKG0gw6YkEwlRUtvHgQ0vZur4clUZBdnYCGoUISNRXttF8qpOGY8289XgpSCAqBB55497h\nDTAm5h+UNTqNhHQLZTtPEPAH+eXDq3H5w3y+qYLLb52N7XADCpWcu7/zNjfcMIPj9V0MDHl5Z+0h\ntBY1g24fj1w+D3ckwB8/LyPbYsak02CWaZCrRPoCXmoGBihMSuSy3NG0uZzkWb94Tvpq/U66vXYW\npYwm3qehxXuCqqFTjDOlkqRKJBLtxB3yEJGZ0arHIgW6iUbbOHdS+fNbrOcyjARBRBA01Nme5Wjf\nfRzue5V9vb9nf/8mbKEB7sr9DjLBRFQKMeD3UOFoQyZ8sXxNt8eFWpQzLj4Fjz/IG2VlPDBnBiuK\nxhCORDjZ3c+svCzWHz5BVrKFOIOGOJOOcflpFOYkMbYgldEjk7lgQSFiVODVldvx+0PIEDh5tIWT\nZc2kZSWw9b19VOyrJRgInVkpJ0JSZjwFU0YOW3YxMf+sm753CWqNknAoQtGkHDKzrLjsHno7Bpk4\nOZsZM/L40ROXodGqmDVpJJPGjqB/0M3CiSO5bkkJH+2qIMVsIBqOoleraOt1kGO1crCxjTlZmWgE\nkXBUYlpKBsf7u8859m058xhvTWNzTwVx6niKzROxquLwRJy0eOpo8eyhcWgjjkAj3mgAjfZyZLLM\nYcnpHxXruQyjSHSINtuzpOkvQqOcwJ+7nsYesgMpdPt6aHI3IUPOKMMIen0eFiUXIRO++H1gb0cL\ng34vSSoDQ6Egy0ePxqxWM+j0srBgJDNHjuCjvRUsKs6j9FQ7KkHEFY4wc0IONae6kaIC11wxhYwU\nC92tNhqrO9DIRUQkDEYNqakmtFolx/fVEQ2GEKIR9BYtQ702CmeMGr7gYmL+BRZfO43F105jaeZ3\nAUjMtjJzUSFDDi9Hj7bgDYZw+kOgkLH04vG0d9uZPzWfU839NPbY8PoC7DrahFatoKKpizE5SVR1\n9GBUqajrGeSnCxezruEUckT2d7ZyXUExqfrTg19+V/s5zZ4ulqWPxyiXIco0jBDTCUX7SNOkoxHn\n0eX6CEdkiCTtpTjdv0anvXw44/q7xXouw8Rhf5TevuUEw3U4AjWY1WO4LGMlKeolKGRGgpKSfQNH\nmZswhc1d5chlEju6avGGA2drLM0Zxc2jJ7AsL5+F2bmMTUrCEwgyJSud+p4BMq1m0uPMGFRK6jv6\nue/aOSycPIryqnbUKgXLFhSybXsVbo+fBQvGsHjJWISIRH5hKmF/gJlLinj/hc3Yep0oFDI6azpx\n273ojFruf+XOYUwvJuZfJzH79Dtafc02VCoFZfvq6W0bxGLUYtSrKC5Kp6GpjySrgYmFGZj0ajo6\nBpk1Npse2xA3zJlAMBSie9BFYVoS00ZkkGjU88qBUiYmp5IfF09UirK2rvrsMRekjCZNa0UtqnCG\nvBQY8glFwziDdj7peJnBQB85xtuZmvw6g4EDJFl/QzTSSyQy9P+6jPNOrOcyTNSai/BGZXi820jQ\nnJ4nbGvPy3T7Wxmpn4cv0kQkaiQshXh49NWM0CVwVWYErVx1toZRqeKSvNFsqqnlU3sD++taaOy3\nMTUtnaw4M0M+P7cumMSKH76FTqMkN8EKwLypedTUdHOwtAmrXs3jj6zm+uum01TbjXPQw6iCZKbM\nKWDFN+fyg08rCXkC2Hsi6ExafE4vs6+cNiyZxcT8O7y9++dn/350Xx2tjb0UTs6msakPlVF9emJK\nq45Nn1YSl2Rg46eViGoZ/QMuLp1ZSEqiiXAEgsEw10wci0wuw+b1sre5ld8fLKXJYUMjyllVW8U9\nJTMAWJgyGr1CwUdth3l2/LXUuZr4sGMdV6cvYaxpAVm6CZT2v4JR9GBRWAhG+hiy3YVKNQOz5dnh\niurvEuu5DBNBTEGvnU9O/EritIs56dhEhrqASZar2T2wj/6gjQZPFyecLYw2ZaCVq7GqvngLvmaw\nn7YhB4FwmD9VVMyVNZIAACAASURBVFDW0cG2Uw0oZSL5SfFcUDSKFzfuo7K5C6NWxZ3LpzN7Yi4a\nuZySwkxuuXYGaQkmBgbcOAbdrPzFZi66fCLOQRd7NleRPy6DlppucotSCQeCuAadGOJ0fO/1O3jw\ntbuGMbmYmH+fXRuPMWlmHn1dDv4/9u47Oq7yzv/4+86902c0RaMy6r3Yknuv2MYGbLAhlNBCKgkp\npIc08kuyyWaTkF4JLIFsIKFXG4Mxxr0X2ZYlW72XGU3v7d7fH2INJGSTPQsWIfM6R8e2PM+9M58z\nmq+ee58S9EZIxZLEI0mu2TgHEQElKXPFRc3MbSgjlkzx+y2HefCFY1zcXI2kUvG1h1/gxy/swR+J\nM+QPUJKTw56BPg6PDOGPx/HEoufPNc1SglVtYDTmZyQ2Qbm+nFOB03iS4xz17kYliPhSIaqsn+fs\n+NVk1IvRaJdMYTr/O9niMkWCkSeIxo8xEnmZExPfZ6/rZxzw/AFvykU4HacpZzql+koOed58Zu5d\nR/fwZOcZPrX1OXp9Pra0dqAg4/aH+enWvfz6hX1856ZL0EpqMrJCZ78L90SI7XvPksnIyBmZXLuJ\nibEAJoMGOZXhgV/voLTcQUWVg4WrGnnwrs2c3t+FRqdGScusuWYRJfXFCK8bVJCV9W5xWdln2f7I\nQYKeMMvXTifoi9JzbpyhwQk+f8ef0SgKsVSKg0e6ueKiZsxaLRpRZMQTpLYoj2FPiDMjLo50DXJy\neJRqmw3S8N7pMyg32VhZXEHkdROgT3gHOOLpZed4G03WWkbi4/SGB5mRswpvchyNmItDN4uMEiDf\n9H6M2nmEQz9DUf56L6d3ouxlsSmQSnWDkEc4dQSLdhV6zWJkVROn/cdoCx5HK+owi06KDVFuq76W\nrtA4NeaC8+2jqSQfmD6buQXFPCO14wvEcOQamV9STI6kIZXMMOoNkUxlONzeTzAUY+/xbuqK87ho\nQQ1337+TWCQBqQzJRJrGBic7uycIR5NY9BJzljUiCgIL1zbReaIXs14iGUtxy7eum8LUsrIuAFmh\nq62XisYiqmsLcURijHsj+H0JBEnFlZfOJBiOMzDiwTURojzfht1mpMJuQa2C6xc0c8mcev7f5pdp\nLM5n90Afvz9yjKSYRi1KHBgZoCzHCkC1KY9ZlmquLl2AVpL4SMXNuBJjFOjyeW7kKKJ5Dg05VZzx\n/pJ624fI0VTjT54gnR5CrX7nj9TMFpcpMDFxLbFMiLhqNhajg2LDGk4Hf4xF46RKO5fxxG6O+E7T\nGfFTpq9kLB55Q3HpD/r545kWfn/8OBpBojEvnwVFxayuq+aG3zzMN69ag8cfpXfcSyyRxqRR4/FF\nMOq1PLnlBHq1hEmrpbbMgZJMc3BfJyaTjhyjGrUkMG1OObufPc5jv3yB0EQQUimKyu3sfuIgK67O\n3m/JenfaOvAzLiv7LKf3DzDYE+ALd12PIsCPvvcs69c1U1BqY8IVIhSO88hzx7l4aQOhTJJdp3so\nLbDy4w9cwd3bDzEainLjvFlsPnsWUVARSsRJSjIv93Tzvmkzz58vV2ukIzTOaMxPSonxx/6tFOg1\nHPVvJ02K7sheBKUDo5hhnrqWWKKFpDyKIOimMKV/XPay2AWWTg8hqVeRFvJIyD5M6joi6QAD0dO4\n4uMc85/Ak/Qzw1pHk7mehJLmIzWr3nCMFvcol1c10JxfiE2rIxJPcteOPaQyab68YQUzS53cvmEp\nLk+I/jEvBrWaSDjBgWM9bLxkJquWNvC1z1+GZzzIkuX15OWasVkNqCWJsqoCaqYV4RryoJYEzDYD\nzvJcJElF09KGKUotK+vCqJlVxE1fWkllfSE2u5Htz7XgLLJx+uQgWzaf5M+PHSLoi3Lzpnk89/Ip\nFk4vJ89k4Ka1c9Cr1YTCMUw6Nb9++QD94z60kkQiKbPUWU6NPZczE+7z59JJGm5vWE1nyM0+dzuR\ndBIBDQYhn1mWS1CrNLhSQ8QyXsLJIXo8XyWp5BOPb/8fXsE7R7a4XGCh0G9JJbeSRkdKUeGOD7Bl\n8OvIcpranIW4E27mWOexMHc+X512IxuK5r2hfTSVZDwSZnZhEddPa2ZOQREaUeTqmdP5+mPb2Hry\nHLfd/QRPHjhNc5WTj1y+EPdEiMpiOxtWTefyi2cgyArf+benOHqkF7WoQknL+D1BzDk6Zi6s5tFf\nbGPvc8eJRxLYc000La2nrKEEe6F1ilLLyrowfvnsHdz88Suobiji5998iokhH6UluThsBkRFoa/X\njdsd4umtLUTjKSZcQWKJFH98/ijzaksY9oQ42TVCMpHCG4liETWsqayi3GolmUpz1uPi0XOnz5+v\nUG9hPO7jdGAEg2RmVd5iZEFBFgzMsF6CSSrHoq0npQQw6hYjSSaikQdRlMwUpvSPyRaXC02Jg1hP\nXA4iqupo9/+BpBwkV1tFi7eTaCaCRV3In/u34UkG0YmaNzQPJBIcHhni/pZjfPSpZzg+MsJMZyG3\nLlnAh1bMIxiO4bTlML+2lDyriUQ8jScY5darl1FenIvRoOGVHW2oNWpUisIrL50hz2FCElTotCIr\nL5/JyX3nCHpDxMIJIv4on/nVh7nz4c9NUWBZWRdebXMJIW+YgR4XdpuBwd4JREGF0aDBatYTj6eY\nP72UuTMqWNxcgSiqkESRfIuRiVAEQSWgESUiiRQ2vZ5DA4OM+kMk5Qx/PHMCRVEAcOotHHT3Mtde\nwwJ7M822esqN5bgTXpz6RqLpCP5UmJ7AnxgIb0PSLMaa+3sEQZzihP6+bHG50AQtaQRE0YkzZyWr\ni35GoWEZ8YxCf2IIGZnjvnY+ULmecmPBXzVXiyoqzFb29vehoHByeIyz4xOk5QwoUGyzYtBoONfv\n4v7nD/PYthNYzXrSqQyJZJpUKsPai6fz5Ts2kImncA/7iMVSlNfkUz+jjM6WASLBGFa7AVFQ0GhF\n9j11eAqCysqaOrOW1CJOLq1HNJygvrEInydMf+8EE64gWkROtw2zbW8bXm+Eqy+a3In1q1evIZxI\nEQwnSSfTzCl1cmbExaW1dSwrKWc4EEAjivQFJ7c/1ksafjLvei4rmoU/FcEV95KnLeXjNZ8kmPKh\nVhUy23YtgdQEarGQVKqVUc/tU5jMPy5bXC6gdLofQWXBoL+C5sLHKTFfQ1qRQRAxSDaW2pYx27yE\n0biHRwZ3vukxvrX/ZYLJBKFkknuu3MSy0nIGvH5ydDrsJgPdIxM4cgxMryjkpQNn6Rh0kWs2sPWV\nVvYf7WbL1pPYbEaGBjy87yMrWb2umUwiRXV9Ias3zcE/EWLp+lnkF9lRkmmGu0bpb//nWo01K+v/\nKsdqQG/QUVObz8IV9YwMeAkH42hUAgW5OZiMGmLRJM/vaKWj18XmXa0Mu/2U51rQq1TkqEU0gkRt\nnoOVNRUkMhm293ZzYHiYM65xHmpvOX8uvaRhNBak3OAknkkhCSLngl3k6cqRxBzKTUuZ5fgECgb8\niQ4M+kumMJl/XLa4XEACEsHI0/giW+jxP4A7dghPcoBUJo4nGaXYUIFJa0GvyiGYjJ3vOr/ex5oX\n8IUFy/ndZVdi0eu5dck8+se97O/upzLfzl3vv5z1cxr4xn0vkGPQsn7JNKqdDj79wVWsWFjLmoum\nMTrs48H7dpOMp/joFy5l2oxSbA4z430ufv6lh+hvG8Lv8qPRS2glkRu++p4pSCsra2p95ac3odGp\nGRvycvOHl5NnM5BJK3jGAjgLrSyYWUFTTSFef4Sndp7iJ3/exameUW6/fDmSKGHWaegf9/FKRy9/\nOnyShYXFIMMMh5N2j4u0LJ8/l0HUsH+ijd/37MAsGdjp3sdIfIi59stAkLFpmsmgEEn1kkieJhLb\nOXXB/IOyQ5EvoFj8CLHMEPmWz9Aa2sZ4oo85eXdy0LsHo1jEXPtcOgde4JqS1cQyf11YAHoDflSC\nwO7OXgyiGrc/wi2LZhMMT06sshh1RGIJ5lYXsftYN63do6ycVUM4HCMcihMJxhnu99Lb7SI0Eaah\noYjDO9q4aMNMdj1zDJ1eQ++ZISZ6xymuyWPVdYtRa9QXMqasrHeET1/+Q2LRJGqDloF+D8lQnJlz\nK3BPhNCqVFSU2PFFY/i8MZrqnCRSaRpK82kZGCYQTmBX6zncM0SRM4eRUJAcycD66jrO+cYZ9Uc4\nNj7MQufkEvpdoQnWFszhxbH9/KD9QXJ1Mk2WRmwaC4/2f4dKYwGBdIw8w0wCib3oNDMw6i+a2oD+\njmxxuUAUJU049B0suo24Un3kaKrJ1a/hFdfvydeW8p6Sz2DT2KgwluJLRbipfN2bHmdOgZPPbN3C\nqCeEWhH5+ML5zCkuYsDjP/+YR3a0MDzm5xPXLmNiIkT7uREeeewQ+TYTGgRmNpUw2jlOLJLkhceO\nIKlF1t+0hO5T/VTUO9n82xfRGjRcestKLr/tzZ9HVta7XTSYBEGg9UAX5oIcZsyrZN/+TuYuqubo\nsT4MFj0rl9exbFY5s2qKaRtx8+lfPMX8xjIW1pTQPuYmnclQqDdyTpQwadQoGgl/LMln5y1mhuO1\ne6q9QTct3n5CihtPKso8WyND0RFs6gwjsQEKdeVU5VxLLLEfvWDCH7oHs3Y5Wm3TFCb0P8teFrtA\n4rHNKIiI6noUkhjV1RQa5pDIpLBriglnghzxtpKryXnTwtIb8PHHthO0u91cWd/I6qoqynIsbD3T\nQTCe4NH9p/n6Qy/QPTLB4bYBDp3uw6CRuP/Rg6iAy9Y08e2vX8nooJetTx8nnclg0KuZPruMddfM\n59l7dvDLL/6Zx3++ldE+D5lUikgoisGsv/BhZWW9UygKIBPyRTHq1VitBvQaidrafDyuIDv2d9DS\nNsxDzxxlw7JpbFw8jfUL69FIEnJG4VtXrWV5XRUqBJ5ta+fx1lYC8Tgt7jGufvZP50/j0JrwpWIs\nzZ9JmaEQV9JPSk5Roq9HQIM7McRQeBej8WPkGD+JUbOQcOguFEX+2899imWLywWi0S7DaLwVg+EK\n1Co7w9HTnA1sZzw2ilalo9Y8DU8iwI/OPcJw1P1X7Y+ND+GNxfj5of34EnEKTGY+sHAO6xvqeOFU\nB5fOqMNhMlBeYCfPbKDAnsPgiJ95TSW0nBnimedO8PnPP0RRkRW7zcjcBTVoJBVrr5rLdR9dhVav\nQWfQEPKGkFNpkuEY1nzLFCSVlfXOsHXgZwAERvzUN5eyc2srZqOOg/u78LoiaCSR+U1l/OjrV2Oz\nGMg1GbjtqqXc9/wRVjVWUmG3YjXoePFUJyoBUmkZh8ZEjdWOlBH54rxlZF6973JN5TzWFU1nbcFc\nrildhSyrGYm7SCpwS9W3iGW8RDNx1Kp8RkK/Ihh/mXi6D0hPXUB/R/ay2AUiCAZ88ZfRKRrGoqco\nz7mBvRObyZCkNdjG4ug4jwy+gD8V5fGB/XymYdMb2peYLBwaHmZjfQNWScdIIsyaumpePN1BodXM\n8sYKZlcW8egrLRh1Gpw2E011RTTVOnno4YOcHOvDNeiFynxWLa/HpNcScAeJhhPs23yCR3/1IulY\nAiU9OTlLa9By1afWT0VUWVnvOJdcPZdj+zspLbGjM2m5+KJG/vPBvRw41E1SlvEFInz9p89RUZXH\nuCfI4TMD1Bbn8YdXjlJflEswFedjyxawtaOToJBg91Af3REPwVSSK2umAaAXNdzV+hyjqQEskopZ\n9jnkamxIKomUnCKCnnJDHVpRj0OjRxRsCILm7zzzqXPBey6CIFwqCMI5QRC6BEH4ypv8f5kgCK8I\ngnBCEIRTgiCsf/X7awVBOCYIwulX/1z9ujY7Xz1my6tf+RfyNf09suzH5/0kFsM1xBWZcHqAw+4/\ngRKn3DCLefZ1nA13UKjLwy7lctDTgyseON/eG4+SzGS4rLKWfL2JEyNjPHr0NN/duoNSWw5PH2hF\nqxYpdVgxaDVcuaIZrSQxNOLlB79+kauvmENpsR2tSkCOpdj86BEyssz+rSe59z+eo/VgJxqtGkml\nQomnUJJxmpZmd5rMyto68DO2DvwMvU7Nxvcu5Ir3zifXYeKBu3fwve9cQ5nTRmmxjXQyTTSWZMIX\nxmbWc3bATTSRZFdrD2eGXNQV5DGvtIQej48irZm5BU5ckTD3njpy/lzueJBjvn6i6TSySuGgpxVJ\nNfn7f5GhgXDGRUIxkpKDqNQLsJpvnKpY/iEXtOciTE4r/TWwFhgCjgiC8KyiKG2ve9idwKOKovxW\nEIRpwPNABTABXKEoyoggCE3Ai0Dx69rdpCjK0QvxOv63BMFCEgESB8gxfYgF2sXsdt9LlWEp8xyv\nDfO9v2cXFxfMYSQaZyjiJ183eVmqxTXK0bFh7liwAkVRODvqZlZxIb1uH7/bfghXMMwTB1r54Jr5\nXLm8CVlWqC3LJ5VMs2BGOYeP9jJ7RhkrFtQw0OMmGojR3TbCN359C7XNJfjdQdoPdjA27gOgvKmc\nbz31pSnJKivrncjnDtFyoAufN0JjczGH93fx8oun6egcZXpzKTpJIhBJEI8kiCoyw8EQRpMGOaNw\nuGMAXyxGBhl3KMy+/gRxdYrFpSUElSThZBKTRsMcWxn/2QUF2jyKdQaMEpz2n2WapZZ0RkuxYRne\nRCsWUU0gth9F8WA3XDrV0fxNF7rnsgDoUhSlR1GUJPAwsOkvHqMAOa/+3QKMACiKckJRlJFXv38G\n0AmCoOWfgCAIFNh/SYHtuwQTnWQIUWPZyETKy9bRxwFQFIW1BYsIpJLU5hRhkF7r7v7u5GFyNJMv\n9XcHDvPEqTbc4QgfWTKPYoeVf7v2YtbPbcQXjHLnbzdzzxP7+OoPn0aSRGor8plwB9m5o41nnjiC\ne8zP6sua+fQ3NzF3eT0P//R5vnzVT/GOBVDSafJKrLz3i1egM/xzrLyalXUh1DaXMNzjIhyI8PIz\nJzGZdbyyvQ2zQUdr2xCSSoWckQn747zvsrkA9A15uPO6NaTlDCf6R9h+pgsRAYOkocaaS4ffiysS\n4cXeDgCWO+u5qWIxix2NdIcHaQv0cl/vgxzxnkAnmXDF+4lk4mQESMlu3KGHCAR/SSYzNpXR/E0X\nurgUA6+f7j3EG3sfAN8CbhYEYYjJXsubrXVwNXBCUZTE6753/6uXxL4h/I3drARB+KggCEcFQTjq\ndv/1TfO3Szz2CoKgQ6XSU2hcjVlTj0NbxWBkgDzN5HDEvROnSCkJNpUuoi7HSYPFeb59gdHM0pIK\nAOwGA2oE5pQ4mVdRwqgnyKzKEmxGHS8dPsfek708v6sVUSWAohCLJmhrG0ankbBbjIR9UX7xzafp\n65h8Qx7Yegr/eIBkPAUKvPezG1i8af4FyyYr659BaVU+Joue00d6mT2/kvrpxegkgdtuW0U6mUGR\nFTJpCMYSPPDUIZw2E8m0wvBEAFER0KvVKLJCjT2XYCxOJJ7EH0mgEyVGoqHz5/nKjPV8rPZiZtum\noZcMmEULw9FRvIkxRuO9xGQVWrGQmKyHdCe+0G9QlNQUJvO3Xeji8mYf+n85W/AG4AFFUUqA9cAf\nBUE4/zwFQZgO/AD42Ova3KQoSjOw/NWv973ZyRVFuUdRlHmKoszLy8v7P7yMf1wqNY7P93nSqW5k\nJUWL5x5aPL9ny/BP8afc/PdAwvn2Rq4uWYmIxJGJvvPtj4wOcVllHc2OAjonJnCFw2QyMg15+dy7\n8zA/vGk9hVYzz+w7w4PbjqECzAYd8XiKXQc7aWsbQaeRKHLakNMZhvs9NM4qpbLeye5njxL0hlm2\ncTakJ3fI2/3UIYw5hguSTVbWP5OLLp9JMppg3aZZ9LWNEvTHOHdqCBSF225eTlm+mTyLiWg8SeGr\nP0MHT/WTSssYVBIOk4ERbxCzRkuJPoc8vYEiQw6XlNe+4TxHvT2MR8PkafOYbZ/NEsdC1hS+F50q\nH7O6Blesg1CiFbXucvLt95FMHJiKOP6uC11choDS1/27hFcve73Oh4FHARRFOQDoAAeAIAglwFPA\nLYqidP93A0VRhl/9MwT8icnLb+8I0cg9KEqEiehmjozcTCTZS75uNivybsKubuBl1y5eGt3P107d\njSse5IC7m3VF0863f6Gvg3tOHuH0+Bjf3L6DR0+0ohUlzBoNtYUO1JJIOiPT1jvGbVcuobG8gFQs\njXciTFV5LusvnclHP7qK5uYSAhMh6qY5qWmc7CzufOooqVSGg5tbsObmkJtvYtMn3rnXcLOyptIt\nn1mHoMD2J44iCCBnZJ574ihf/sJ6VJKI02HFoNMwraKQurICRAEGRryoFIFMWqbUYqHaYScWTyKg\n4rKaWrp9Hrb3dr/hPIsdtdxev54ripcjCgIP9j+GpDKjES1oVDlkAFFdQYn1Myiyi2DwR8jyO2/r\n4wtdXI4AtYIgVAqTY+iuB579i8cMAGsABEFoZLK4uAVBsAJbgK8qirLvvx8sCIIkCMJ/Fx81cDnQ\n+ra/kn+QVnc5JvPnSGNGLeYyFjtJV2gPY3Ev58ItDEZcPDr0LPkaKz84s5nu8ChGafL+SjydQgBm\n5RZSabOzoqwCg0aDRatjV0cvD+05gSsQRhJVXHPRTPoGPAyO+Kguc3D1hjmYdVp0ejU11YW0Husn\nmcjwyS9fjl4rkU5lGOgY44oPruCKWy8i12mhpM7J0qveMXU5K+sdRavX8vnvX0d/txtJUSgtz8Xn\ni/L9f3+WznOjvGfDLIK+CCaNhg9fsYi59aVEk2kW1JaAAh0DE3x301o2NTfSPeHFJGopMJj43Yk3\nrjqelNN8o+VxvnnqIfI0Tm4ouwq7xoZeMuJOBlnh/AGpjIdznp/hCv0ZWY6QTB6colT+tgtaXBRF\nSQOfYnKkVzuTo8LOCILwb4IgbHz1YV8AbhUE4STwZ+ADyuQKjp8CaoBv/MWQYy3woiAIp4AWYBi4\n90K+rv9JLPZfxOUwKmLMyPsJgliCpDLQEzmLXswhpYgEUjG+PO19fGHaBj7XeBmF+slRYme9E7wy\n2Es4lUIvSVw/ewbr6mr46NJ5dI54cFrM5FtM9Ix4qC52EE+mUKtEGqudvPjiab531xYOHOwix6JH\nRMBqNfCd2x+k5UAnKlHg49+9lhs/v4GxrnE6DnXiHfPxN25XZWVlARX1hXSeHEAUVYz1eQA41zbE\n9u1neObZE7h9EfYc6cIXiOIwGkhnZDLRDIFEgkGvn85xD4FIAlmWeeD4CYZ8AQLJOF/b8yLpzOQc\ns/bAKBVGJ83WCv7Qu5lvn/kdCTlJiWEmWpWKI54niGXChJMnQDMbk/kjqFSFUxnLmxLebOXdfwXz\n5s1Tjh59e0cuZzJe/MGfkkGLolmBK3YEtTSdkfgEXeEe+iIh1GIuBdpKPl5z3V99sKdlmd+dOMyB\ngQGmWfNRKyJDEwGcZjNVVivpjMzVC5v50PcfZu2cOjYsauRL339qcg2jeAYhLaMBbr5pKd/89J9w\n2PV4hnysvGwGPce6MZl0GPQSIXeAvtO93N1yFw5n7tuaSVbWP7sffP5PDPZ7WLFhJv95z04U4NYv\nXMKeQ110DLkoLrYxe3YlokbF/duPYjJoiGtkRI3I565Yzn8ePoorFuX2NYvQShL/eeYInnSMP152\nLc15k0VCURSGox5+cu5hyowWTGqZeGqYUPooghDl+pJvIzKGXduAWrKhES/c1D5BEI4pijLv7z0u\nu/zL2ygR30k6eQBRMxObbhZj8S6Go4c55T/MYLSf+bnz2ejcyEQixkjM+1ftJZWKiWiUi8oq2dx2\nls3t5wjE4ogCNBTlc+Oy2ew91Ys/HGPLnlYGx3wICgT8UVyuIN2d4/T3enj4gb2oBAGrzUTt9GLm\nLqqit32YU3va0Rg1dJ3owVHiyBaWrKx/gN6oZbBzjDPH+rBaJ4fsb3nqGO+/YTEzG0vp7HaTiCbw\n+iNsWjKddFpmaWMFiVSae145hNNkRitJHO0b5sETJ5mVV0STtYAa22s/f4IgMJEIcDY4gSs+wUDU\nTZ1lBvnSdERkdo9/i3OBRwgm9jERvJtEqnOq4vibssXlbZSRx0mjJZpsQa0yoBZrSMhpMmS4zHkD\nCAa2je+jzlzBKX/fG9r64jG+u38nB4cHeODECfJMRkwqNSurKzg75OaxAycBKHLk8OENC7l4bh3e\nUIwv3noxJQVWViyrZ/6cCkqLbay7Yja3fWEd02aUsGBFA4Pd42g0Ejl2I3NX1JOMxbn5G1df+ICy\nsv4J3fK5S7DajXS0DjNnVgU6rUQmIzM84OV7X78KvVYiEIxNjtg83Ek0kcbnjZJKZXAYjDj0RlZU\nlRNLpmnMz+PFrk5Ojo+RfPWy2H8zigacejtXFK1hpmUGBboS8oyVpFGTQkASrKTIQysWksmMIcvR\nKUrkzWXXFnsb6XSXI6nnoNPORxBUDEdbCKWTRFJa/Ck/J339mKVcjnl7+FLjGzfkenmgi11D3fR7\nAzRa8ugZ9ZFOZNjf1U+e0UgolsQXihJLpFgxo5oco5aO7nH++PhB1CqRW29ZgccTYvuWkzxy3y5y\nLXrOHOzhm799P0//ZhuJaBx7aS53f+G/SMXTLNmYnduSlfWPsNpN3PPCl/jJnY9z9vQQtVX5fOX7\n15Cbm8Ou/edYOruKQqeNl492ASCKAql4iuWNlajVImdHxokIaWaUO4nH03x+4VKMOjWXPHE/913y\nHqbnTs59C2XivKdkOV3hYSBDLBOjwbKQpDxKNNlJCjU56goGfT8nX12IYLoJvf6yKUzmjbLF5W2S\nTJzE6/skJsu/k5QDJDMJEGBZ/ofZM3GEEn0559RRNCotohDDoja+ob1GlBBkgTsWraBvzMuEJ8qs\nUieZWIZgPMHQqI8Xjp7lvmcPk2fQc/O6uQQDcSY8YeY3lfKbX21jdMiHBoFkPE3v6BhanYSgZAgF\noijJDBV1hew73UPd/GpUqmwnNivrHzXQNcbxXecw5prQ6iQ+8t7fsvGGhRw7PYisVrH9cCdqg0ha\nLXDduplsapq14gAAIABJREFUPXwWs8PIrrYezGYdBrOaLWc6qHRY+e76tYxHQhglDd0+z/niMsde\nCcDTQ3vY7znGbHs9deZaCnUFPDHwRQTBjCu+G0WwoYi1aLVrpzKSv5ItLm+TdLofQTAy4PsO3oyO\nGDZsmgqKDLO4qKCQGlMDGSWHbWNHuHP69dzbuYcP1SzDIGnwxqMcHRtmaVE5m+obueHQI8SSaa6Z\n3YSYhlMDo9y+dglVBXZ++/BehsIJtu4+g0WrpaY8j9bWYXrbR5k1oxx1RkbIyKAoLFjVyI9v/y8C\nEyEkjUg6keIL936MJZuyw4+zsv43ymsLiYXipBSoqC9CoxXZt/MsDXPKKa9wEEkm6XX7MRt01Bc7\neAGBJbWldI1P8KGLF9DudjNw+gxJOcNlv/8DDpuBVWWVxNJ/PdverjbjTcRJpGMcmTjCudBuJKEA\nBBGTNJ2U6gRRJYxK9c76OM/+uvo2kWUfGcFOsf27GDRN6MQ6vMkgv+v+Mvf3/oIDnoOc8Hcx3VKF\nLxmh0eJEoxIBMKm1CAoMBQPs6O1BAXQqFVuPt/Pvz73CtlOdeIIRtGqJ1XNrmV1dzMzaYj7zoTXM\naypjdNiLnJaJBiK0tQyw8tJm5iyq5uKNM/FPhMgkkuQV20nGE1Q2lWOyGP/nF5OVlfUGGq2a+lkl\nyPEkkkqgpt5JPJIkEojR3j6CNUcPCqTiacKxJGX5Vk6cHSWZyvDE/tMUm81U5FjZ1DQNi0bHxtp6\njo6P8N2Du4gkJ1fLmIiH+fbJZ/j39idIZBT2eA7w4OCDJGQRvWigO3yYJHrKrB9HFEy800b+ZovL\n20RQ6VFUuSTSY+jUJRSZVtJk3YCIEaeujIl4hOHYCG2BEb54/CHWOBuRXi0u0VSSJ9vbyDeYUSPi\n0BtwmnOQZbhidgNPf/H9GCSJb9zzPOOeEJKoYkFzOXsOdHDsRB+KrDBjZhlF+VamTS9huMfNaL+H\nYzvPotZIOIpykASZY1tPcOylk1OcVFbWP6fl62eSTKRpOdDFTbcsY8nyOs61DbNgdgU3X7cYQVbQ\nqSVKHVYS6TQ7T3SRTsu0D7v51UsHqLJb0Ykq+nw+njjTTiyeBEWhNzi5OrlB0lBssEBGzXRzLWsL\nVlOgzUNGjUVTiqxkOOj6Nu54H2nZTTJ1jnSq++886wsnW1zeBslkG4HQL0ik+hgKPU0iHeaw50HO\nhfYQlyX0opUdrmNcUriI2+s28sM5r+3LkJZlLnvyD2yoqUelwB+OHafMZmFTcyO+aIxNc6cjKwqP\n7DjJjpZubDkGrlkzi/9317P816MHGR33oxZEliyrpf3UIEf3dVBeV8A3fnMLB59vweYwk19oJxFN\nYiu08t47rpzCpLKy/nldectyRFFFJBTnvp9uY9XaJixWA3v3niPii6ETReKxFA9tOUIinKCmxMGs\nCifIICIwHorQM+alOb8Ak6RmOBRClFU0OSbvuRgkDddXLGKGrYqJpJd9E+1scF5JQo6hV+WiYEBB\nxB3dR7ntRyjyMPHEK1OcymuyxeVtoChRZDlMXJ4gmOxgJHqEaZZLmWvfxGLHKlYXrCeUjrLH3YY3\nGaLc6Djfti/oY21ZNQsLS6i256JXSXxk8XxydQYSyTQ/eGonL7V0cNumxdQ5c1m7oI69R7qpKM1F\nJ4msXt5AY0MRBmlyiZf1V89j5aXNnN7XwdiQhzynmY6jPYz3uZi9ujk7Iz8r6/+geUElSjpNx+lB\n6hqdLFpYQzqVobTUxpL5VRgkEbVKRYXTQV2xg8tnT0MnCQgyCBlQayRi8SRtLjdmUYtWVPN899nz\nx88oMtNzKqg0FtMfGeeg5ygd4V6KDNMwq0tJyDKexEl6go+g1a7EaHz/FKbxRu+sO0DvElrtPKy2\nn2MR1GjjvaQxEkgnGAmdZbFjPRlZYL1zJaFUhpTyxj2wz3pcHBkZpkifw9Mn2xn2BrnrxV3U5+Vh\nUKu5fF4jBpWar9y9BatGQ0v7EGuXNfD05uNk7GkOHOgi35FDwB/hS999D/d97zmGOsbwD44jSSLe\nkQBqrYher8vObcnK+j/a9MGltBzoRskoPP/YIXa/1Io5z8x99+1CMqhZtbSBZ3afRmfWIKtVLGmu\nJJlWkGWF7jEPdYUO6gvyGOwJ0WQvYDwT5JM7nuOnmQxX1k0nkk4yEvPRGjqHKKRYnrcUp95BS2Af\n3mQYtRBFUpURT7vwh/9ERvbisHx2qmMBssXlbWPSrwTArFuCrGTY43qG/RPP4UvFcSVUlBsq0arA\nLL12M11RFLb0dtAX8LGjtwe7Vk9/yo87EuEjS+cjJeHeFw7RlJ+PSa+hoaSAc53jDPZ5KXXkcPJI\nH5/71Foe/v1eDgx5ySTSXLZpNqsun8Wd7/0FSkamvLGIiNtHcZWT0vq/3EonKyvrf2PxqiYEQKsW\neGnzacjIlBZaKKzK4+W950AQqC52kFeYQ1KQuW/LIeZUFHFsaIR4Os3WMx2Yc3RcWlfDkfFhIkKK\njzbN54qaRgCKDFaKDbkU6maza+IE82xNPND3Z2bkFBFKe9CqzIgqHQoZJiJb0IvmqQ3kdbKXxd4G\n4dg+hrzf4Zz3V/QGHmOf+xFafFuIZtJEUgIDkWFimRT9EQ+n/APn2wmCQK01l9Vl1fzi0suptuey\nvKKcTFqh1GqhoTifi5qqCMeTxKIpls2qwqBWk4gl8fujzJpZhohAKpHGYjUiCQKvPHMMo0nLwrXT\nkVNprvvsJcxZM533ffOaKUwoK+vdY2vnD7njxzfiGfMTCyc5c3KQqup8PO4gp88Ok6PTkmsxolJU\nGLQaltVWkG80kiNp0aolotEku3v6CUXipJJpLiqtRHzdvLM59jKKTDb6Ix7G40H0opa4IlCom4FV\nU85cxzeZmfcVzIZ16PWbSCbeGbu9Z4vLWywe347f/xUCsS24wo/RGXiavvBxIpkgCioKdMVcUrgK\nmzqHO5uuYVXBa3u3vNTfRSSVZMDjp8vrYcTrp33UxSWNtTyy/yS2HAOfXL8Uq0FLNJbElmPgx19/\nD/92x0a8rhDHj/Ry8HAXqy9pIhqKY7UZWXbJTO6+8zFO7DpLfomdp3+xlb1PHmLWquYpTCkr691l\nwYp6wv4owqvDgTc/eZTaynxMWi0n24YYGvZxyaJ6ljaV8/TeVuqL8ognU+gRaXDmUZ5j4doZzRSY\nzKDA/a3HCCYnN9pttpVwqXMODq2Z474eCnQFHPEdZbb9MoKpQZ4a/CDP9F6FLFhJJ48QDN/9jhiW\nnC0ubzGNZh4W6/9Dp9uAw7COHO0SVuTfSCyjwyDaaA91YpaMFBv+eonsHr+XE2OjpJDxhWLs6RnE\nFYlSbMvhE+sWs6i2DJVKYHlTFUFfhC/+8EkGhn3EoymGBr1Eo0lIKwx2u6msyuNL37+Gmz99Mcd2\ntuEe9mLO0WMvsvONRz8/BclkZb17SWqRBcvrUdIyV123gBtuWordZsRm0aPXaTBJaowGLdsPdRBP\npFnVVIVBUpNJyTjNZhaUFHN8cITrpzfz7T2vsHugD9VfbNz7uYYrMYpq9k60oFeZiGUy1JiX4NDO\nwyDZGPQ/gCd+HFPOHe+IgTrZey5vsVTajS+yBUksZzh6BsRKBqJdIKiJpJMU6gyc9PfSF2mheeYH\nzr8JJmIR7m89RrnJRiAS4nuv7Maq1zLb6eSlk52MuUN8fN0ifvXEXgZGPMTiaZSEzA9+8wJKNE06\nI6MTVex9qRWSCkuX1xKLJHn0l9uQ1BI6SYCMzJbfbuOqT71z1h/Kynq3uP5jF/HK1pM8/eBB1l09\nh2uvWYA/EGPUG+CZF07S2eeioTSPK1Y2U1Xq4KnDZ+j2eDk75uL5s37yc020DI/iiUa4qmEaJo3m\n/LEf6zvKRNLH/onjVJvzmWurpTfShl1diE1nxRsbRBGtxOU2khkfOvUUBvGqbM/lLTbu/zrJxCHy\njJcy0/EtxhOjKGS4sezTfLbu60gqKzvdJ4mkMrT4+s+3G4uEWFlSwVfmL0NOQb7RwNySYsa9IfyR\nOH0uLx3DE7x8vBNfMMrGlU08f8/HycTTqDUit310NU88+zmqqwqYNqOYozvPcnBHG2qNyPLLZ+Gs\ncNDd0oPZYSSvJLu0flbWW62uqYS24wNU1xfQ1+PmXOsQDfWFjI8FGBjx8dKudjSixNO7T/Pn7ce5\nZlEziqwQT6RJpTPE42liqTRaQU1ljo17Th4mmZkcTTo3txxPPERfdIKu8AAt/h5uKPswudo8anM2\n4NQvxJPqQVCVks54pjiJSdmey1sokx7GpFnCWGYvXb5fMaPg11SY1rHXvQ2NOMD0nKWMxsf5QMWl\n6AQrvSEPs+0VADx6rpWtPZ10jHv59KKFlFqs9Ix56dEYWFhRgoiK4twc8k0GznSNIikq0hmFgX4P\nN127kPFhL3+85xV6O8epqHDgLLWRl2/id197FJvDwCf+43q+vekH6MrtUxtSVta7WFWDkyO7zpFf\nl89Tfz7Ema4xunpdLJhVidagZnFTGXfcsxVBLXDT+jkoMgSDMQyShEWnxarVUWg0IaPwyLnTrCip\noCE3nypzHl9u2kiwJcACRxkHPUdoD3WyyHEZhz1PMBLrxaGpIyEPo5UqkWUfgmCd0stj2Z7LWyiW\neBlBiKDTrSSlwDn/05zyv4hIDuOJETKKgKKoeMV1joOeDuotzvNtb2yYgQ41M/MKSWUU/LE4B7sH\n2dvRS67JQGNpPr98Yi/RZJrKwlxuuHQOP71nOzdeu4jARIiXt7fx/JPHiEWS+MeDlFbm03NqEI1O\nQoXA4z96DrVO4rdHfziFCWVlvbttunExG65fQJ7dxKUbZzM+4sc1HiTsjVBd5uCp7acQASWjsKi+\nnGJbDiBw+fQGblk4hxfaOknE0rjDEURB4N5Tr438GosFSCkwHo+xqXg17vhkDyVXU45dV0+t9VMY\nNHOIpfpwu68lkXh5akJ4Vbbn8hZScOCPPoDZ8h+44l2MxYdRCRKFhnra3XsIpHz0hN1MM9eiEXSU\nGSd7EZFUksfPtuFPxHmyvY10VKbMYCHoj2HV6PAEoySTGUY8QW65ZB6JRIqgL0YkkuD5509SWmhh\neqOTQyMBRJWAWitRXl/AI3dtpmlhDePdo0SDMa7/8lWoNe+Ai7FZWe9SFbUF7N/Rxmi/F9dEmK5e\nF1FBobvXxcneMUS9hEavIpWWWTytgk2jbh4/0kogGmPXuR6iqRRnPG7uPX6UpuJ8Ck2vzVspNeby\ntenv4c7T93PYe5jrytYAcMp/AH/yBIHYTnLEcbQEsYqlKEp8qmIAssXlLSUTw6hbQSQ1RI52Ou4U\nRNJRXIlWao2zENCxLG8Gy/NmMxQJnV8F+fGOVgYiPr63Yi3xRIpHjrXyg/VraR9xs7yugvycyTdY\nV6+bPSe6ETOwfvl0zHodkVCUvkiCVDBOcbEVUZa5+RNrkJNJkvEUbQfOsfTSZo6/2MLqG5ZNZTxZ\nWf8SFEVhYtRP47wKioptjPvCVFTm0+/2I+rVVFY52He2nzt+9Qw3bpjH4Z5BTg2MIRlEFEBKC3xj\nxSr2DPdxZmKcZCaDRpz8rMjVmjGpjChyiJ2uw8y319EX7kIQAjjUJdj1c0gkXyKm0iBFHkevv3zK\ncsheFnsL6TXzcVjuJJYZQ1RZsalzWZb3Pt5beisZIJZJMc/ewHRLGZcUTUcrTvYiRsJBXOEIRrWG\noUCQ5z7yPiZCUX70/B600mT9/8JvnuOFg+2Muv2UO20483Iw6CQyKQVkBTmVob9nAr87zPYnjrLl\ngT1otBKZRJqdjx4kEoxSXOv8H559VlbWW2HFpc3Ew3FmLaikpMiGRlAxMuJHklQkEikqixyoBNh1\nupdndreSySj4Q3F84Ti5Kg05Wh1PtrWxrbuLi4qrzheWlJzmS8ceRVG0hNJJMkqa/Z7j6CQj0UwS\nBCNJGUSxFJPxfeh0a1CUxJTlkC0ubxFFSTPm+xJDwd8wEt5GlXkDrmSK54b/gDsxTkpWczbUQ4HO\n9oZ28XSKtCwz3ZbPfcePMqtosgDMKHHyiTWL2NXaw7AngFpSUZJnwaLTse9oD8da+olFUzgLLLzn\n2oUsWlyDVhSoay5hxWUz8I0HueKDy1EJCqlogppZle+Ise9ZWe92pRV5XP+xVbhHAtTVFlBUZCUY\niBLwRLlyzUyOtfZTVmBHkSeLyoLqUi5qrKI2304yIxOMJ+gb91JgMvF0R/v546pVEhpBwq6xcGXp\nagp1+cTTMfRiGfXm1dSaVxOVA9Q6foTFsJp0ugNZ9k5ZDtni8hYRBAlbzpeQVLmoRTunfc8xGu0j\nJacwSCZuKNvA7bU3UmrIPz+8EGAg6Ccty5xzT1CXm0uXe/LNsK+znwl/BE8oyuhEkKFRH8lEio1r\nZvAfd2zCbNShVQn0drkY65vg8J4uqmoL2HjTIrQ6kaHucZ679xXKap2UNRRz6103T1U0WVn/cqob\nnOx8roWxsSBBd5jGOieXr20mHI3hnghz5bIm1EBr7yhzqooREAiFEhglCbOkBhSqzHYWOks4O+E6\nf9y6HCcn/f3Y1blcUriMfG0eWslEs3UxL479Bo3g4IT72/R4voiovxpRnLqrFdl7Lm+RTCZMMH6M\npJIkRS6doRcIpOw49TXUmpt4qH8bvWEXq/IWss/Vw50zJq+F/vnsKdzRKKUWCza1AUGBrz+1jZdP\nd3HbyoXcsGQmGkkkEUvR0ucm5I1RkWslEkhQV5XH4oWVBP1RnCU2VBmZZ/9rH5ExH4IiIygqCisc\nNC1eQsO82ilOKCvrX4ez1IYsy4z3e5i9oIodO9sJx1PocrTMay5n24GzCApoVCKdA24+d/lS7nz8\nJVIRmVyjBl86xnAggNmg4cPbnuQ7y9ayuqyam6sXUWm24Ur42Ty6nQKtlgTj1BrKUQtqOoPP4FDb\nUEmjFMg+MhkPojg189qyPZe3QDJ5Crf3dhLJo/gT3TRar2R9yY/IUZcyGBvj8cHNdAa7SKQzHPR0\ncFvdyvNtqyx27Fo9KlnFc+1nKbVaMGvUOEwGPrByLlq1RO+IB5vZwMc2LUFCZHQsQHv7MMNDPgZ7\nJujrdjHUNU5fj4vFF0+j9+wwRRV5lNbks/G2dWz8xCVTmE5W1r+eojIHH7tjA0tWNqDTSJQWW7GZ\ndGy4uIlULMX8pjLqywrwBCIMu4M8e7gdOSUDAnk6A+uqa2gZHqPaZKfO7uDFvk4A1CqREmMubcFB\nmiyNzLTV4U942Dz2JDdX3E2D5So0KjuoSkgljuP1fgzlL7b1uFCyPZe3QDLZSSx5hLhqGRkBWjwP\ncy7qwixNo8o4jZ2uY9SZqvhE7U24EyEcuteGF66rqGVDVT3feXknVo0OQYYjvcPUFzi466mdXL2o\nmZ3Hu8izGaktz2fCHSLgjRILxOk+O0ZdXT5aQWL50lq6W4c4saOVeDjBpZ+5lJGOYX7/tYf4ya5/\nm8J0srL+NRlztNz/i23o7UYC8SRJf5RHHz/Mhg2zefHgWYqcFk73jvHK8U6WLagmk5ZpyHMwr7aU\nU65xVpSXkxEUjo+NYNXpzx+3xlzAV6e9h1A6ij8Zxpscx6nP5w99dyDgZpqxmIwi4I29TL7pvQjC\n1HzMZ4vLWyCReAlRLCaeCVJpuxVVtB1JCpOra6DaNJvxxMMszJ1DWsm8YdfJAyMDvNDdQYnRgsOg\n58vXXkXPuAdFVrhu4QyUjMKhM/2cHXBzxZJplBfZecp1nBJbDu3RFKlgnEN7OqkqczBwZohZC6t5\n/t7tSBqRB779OOlYHKvDNIXJZGX96yqpcDDc58EaS7Lp/7d37/FRVncexz/fTC7kQiAQkEuAAIIE\nL9US8UZRK4s3Cu5WW9ra1q222/XSrd32VbeXrd12u2u3q7Utbqutbi+03q22pVKrUBFRtHJVCYZb\nEi6BEHLPZCYzv/7xPCFDDMkgyTMxnPfrlVd4njnPmd+c12R+POecOeeTF/Dqa7uoaWnl/l+uYsyU\nQta/XkV6uqhvDhOPxdhcuY/s2iwmjirghtmzGJWfyw1PPs7ojDw+V3oezZE2cjOzAFi+dyO/rfoL\nRjMzh49kwbgF5Ifa2HhoKbWRcmLp2YxMLyAaO5Cy1++6xY5TPN5Ibu61NFoeEaumXdm0Y9RGW9hc\nX86DFb9h4biLeWH/VtYc2HLEtZtq9mEG33txNb/bUkY4GuXsyUV846pLKJ1SxKypRbz4+i4+vehc\n3nfWVPbur2fGyWOpqDhISck4CgtyibZEqdp5gEi4nRlnTiAWi3Pe/PeQlz+EtsYWt0il46TI6LEF\nhNJEfW0zhcPymH/paZScPIrmlii1NY20tkXJy8hCQDwcZ2hWFrFojEf/uokblj7OXStXE1IamYT4\n9zXP8j+vrDpc95C0DFra28nNyGX2iNk8f+DPvFq7gSHpxYzInMW4vIUMz15EffMvaW3bkJLX75LL\ncYrFdtPQdC8iSn7mORxq20JGWgE7mjbTEGlkQ10ZRdlj2B9p4LXazo3BWtujbK2t4eoZp/LZWaXU\n1LfwreXPsXTNejZVVhNKS6OuqZUxBUPZd6CBHbsP8uIr2zi/dCoCDlbXs6eyFuIQsjiNdU2semIt\noVAa61dupuFAA4Zx1S0uuThOqkwpGYNF41TX1PPAT1awedNeLpg1mXPPnMzs04uJtccgEiMnK4M7\nPn4FRSOHEQ5HuGLGdNbsqqSxoY0dDYdoDkdoikQO13veqGmcWXAyZiH2tNawp2U/B6PVpCuX3eHt\n7Gx4gn2tzwJDaGldgVk88NceeHKRdJmkMknlkm7r5vGJklZIWidpo6QrEh77N/+6MkmXJltnfwqF\nJtJOHicX3s3EgpvJSMtiQu57aYtnsaNlC0Y6MWKclj+V946Ycvi6VVU7KautoaKunoLMbErHjydX\n6ayr2MOOfbW0RdsZNTyP3XsP8dCf1rHmte2sXlvO8GFDWHzNOQzPzyHe1k6aIDcnm3lXzWLXln2E\nWyLE2+M01zWRm5/jvtviOCn0hW9fjYBlD73M2DHDKMjPZkvZXrZt309F5UHi0RitkRiPPb+JhoZW\n6ppaaYvG2VlziPzMLFpjMeaMn4QQz1SUE/c3ActJzyIzbQin5k+mqnU3mxrKKMiYihEFCsggh9pI\nJTmZZxNuXUostifw1x5ocpEUApYAlwMzgY9Imtml2NeAh83sLGAxcI9/7Uz/+FTgMuAeSaEk6+w3\nDfXfITM0hnA8Sn3bW9S0VbPx0GrG5xQxKecMJuRMwMw4bVgRF51Ucvi6uUWTWTLvAywvL+dX6zdw\n05xzuPOaBcyaOI6zpxSRJnHH0mfZUL6bLeV7eGFtOU1NYW772qM0NIX5xrc+SBowdtxw6vbXk5eX\nRWX5PkJAY00DxOPM++TcoJrBcZxuTJk+hlC6qN3XQMHwPGafVUxebhYhRHtbO9cvOp/v33oVJZNO\nYkvFfhqbwmSSxrj8fP5u+lSawxEunDAZ4lCYkXt4+7CQ0rhl+nweq3qZcVlTuXzs5RRmFXCgLcy0\n4Zdy/vgfMDbnYpradxNRAenpRYG/9qDvXGYD5Wa23cwiwIPAoi5lDMj3/z0M6Ei5i4AHzazNzHYA\n5X59ydTZL2KxGqKxPZhCVDYtY+PB71MdLmd93XIqmiuZkldCZfNBHq9ay7K96zuvi8f50663GJWT\nx6fPmsWsk8aRJpEeCvGJObNYu7WSLVX7GTsyn+z0DIrHjuCyOSVEW6O0RWOUlk7m/h/8mVg0zvQZ\nYymdewqjxgwlJy+L9kiE9JAYOiKPm+78VBDN4DhODwpG5gKwYe12qvbUcaimCbXHSQ+lsWptORWV\nB9m19xCP/2UTc2dM5tLTpjNl9AiyMzIZO3Qoa6t2c+2MMzilsJA/bC87XO+bDXs5f+RMJuaM5K3G\nHZQ1bKW6rZptTX8lTdlUNT1DmDRyclPzBeqgk8t4oDLhuMo/l+h24FpJVcAy4JZerk2mzn4RibyC\nxSqpi1QwPnceo3LnMym3lPz0KTTFwhRkZjIs4yTyM7K47dRFh9cSi5lR2VjPuj27+dBvHkRp8PL2\nSm7+xZOsKtvJ9fPOZkLhcIZlZ3P2jIlU72/kod+/RkZGOqOH57Dm+TKi7XHycjPZ+PI2pp1axPT3\nFNNc2wjtMVrqmph6ZnEQTeA4Ti/ufepWiENbfSvjxuRz0dxTaGgMM7d0GhPHj+CPa7ZQU9tMONJO\nezzO85u38eJbFYQMiobm84GSGTy5tYwN1fvYsH/v4Xp/V7mBtnZ4pHIlu1ubef9Jl1OQMYJdzbt4\nvOJGRuQsZFjm6dS1PJOS1y3z+/ACeTLpGuBSM7vBP/44MNvMbkko8wU/rv+VdB7wM+A04IfAGjP7\nlV/uZ3jJJ623OhPq/gzwGf/wFKCsa5mAFQI1KY5hoHBt0cm1RSfXFp0GSltMMrNRvRUK+nsuVcCE\nhOMiOru9OlyPN6aCma2RNASvUXu6trc68eu7F7j3nQbf1yS9amalqY5jIHBt0cm1RSfXFp3ebW0R\ndLfYK8A0SZMlZeIN0D/VpUwFcAmApBJgCHDAL7dYUpakycA0YG2SdTqO4zgBCvTOxczaJd0MLAdC\nwP1m9rqk/wBeNbOngH8F7pN0K97g/nXm9d29Lulh4A2gHbjJzGIA3dUZ5OtyHMdxjhTomItzJEmf\n8bvqTniuLTq5tujk2qLTu60tXHJxHMdx+pxb/sVxHMfpcy65BCCJJW8+K2mTpPWSXghyhYGgJbtU\nj6SrJZmkd83smGOVxPviOkkH/PfFekk3pCLOICTzvpD0IUlvSHpd0q+DjjEoSbwv7kp4T2yVVJeK\nOHtlZu6nH3/wJhlsA6YAmcAGYGaXMvkJ/14IPJ3quFPVFn65ocDzwEtAaarjTuH74jrgR6mOdYC0\nxTRgHVDgH49Oddypaosu5W/Bm8SU8ti7/rg7l/7X6/I0ZtaQcJiLN0tuMEp2qZ5vAd8FwkEGF7CU\nLVuR3GU2AAAHQklEQVQ0ACXTFp8GlpjZIQAz28/gdKzvi48AvwkksmPkkkv/S2p5Gkk3SdqG96H6\nuYBiC1qvbSHpLGCCmf0+yMBSINlliz7orw7+qKQJ3Tw+GCTTFtOB6ZJWS3pJ0mWBRRespJezkjQJ\nmAw8F0Bcx8wll/7X3Zr3b7szMbMlZjYV+DLeytCDUY9tISkNuAvvu06DXTLvi98BxWZ2BvBn4Of9\nHlVqJNMW6XhdYxfh/W/9p5KG93NcqZDU54VvMfCo+d/3G2hccul/ySx5k+hB4Kp+jSh1emuLoXjr\nyK2UtBM4F3hqkA7q9/q+MLODZtbmH94HzAootqAl8zdSBTxpZlHzVkUvw0s2g82xfF4sZoB2iYFL\nLkHodXkaSYl/JFcCbwUYX5B6bAszqzezQjMrNrNivAH9hWb2amrC7VfJvC/GJhwuBN4MML4gJbOE\n02+BiwEkFeJ1k20PNMpgJLWclaRTgAJgTcDxJS3ohStPOJbckjc3S5oHRIFDwCdTF3H/SbItTghJ\ntsXnJC3EW+6oFm/22KCTZFssB+ZLegOIAV8ys4Opi7p/HMPfyEfw9rcasJN/3Df0HcdxnD7nusUc\nx3GcPueSi+M4jtPnXHJxHMdx+pxLLo7jOE6fc8nFcd4FJHX35bqUGWjxOAOPSy7OoCVppb+ycuJP\ni6QN/nTPVMT0/5I2H+M1i4AfJxzfLqmpz4M7+vNfKWmF/+8sSXeTsN6VpMckfSKoeJx3B/c9F2ew\nWw18MeE4D+/7Ij+UhJn9KCVRHZtbgcRk8lPgD0E8saR84P+Af/BPjcVb+25VQrEvA6slLTez6iDi\ncgY+l1ycwa7OzF5KPCHpOaAUuBl4NySXI5hZFd4yIUH4PFDW0yoJZlYuaSXwFeBfAorLGeBct5hz\nwjGzON4+GZM6zkkqlHSfpCq/6+y5xDXN/I27miTNl7RFUrOkv0g6M6HM27qrJJ3pd8dd1F0skvIl\n3S1pl6SIvznYzzsWZfQ/tC8ErvTrKe76PJIyJN3mbzAVlrfx3EcTHi/2r/2ApKf917db0ld7aidJ\nWcBNeOvdIakY2OE//IgfW4eHgE9JKuipTufE4ZKLc6Kahv9BKSkPeBGYB9wGfBhvddrnJZ2ecE0W\nsBS4B2/Np2xghaTRxxHHr/HGL24D5gPfAz4KfN1//Ea8TbJWA+cBe7up4xd++fvw1iBbDSzV23eu\nfAB4GViAt+LytyVd3kNslwCjgCf84710do99xY+twzK85UoW9FCfcwJx3WLOYCdJHe9z4Y0Z/DNw\nFt5YBsA/AlOB083sDf+i5cBW4Hbgg365dODrZvZjv8xLwE6/vm++g8CG4O02+Fkze9o/vVLS+Xh3\nK5jZG5IagKaO7r3EiVp+8lvs1/ET//SfJA0DviPpgYSnfNjMvuFftxK4GrgC+ONRQrwY2GVmtX4s\nbZLW+Y+91dFW/mNhSW/61/zyWNvCGXxccnEGuyvwFgRN1Iq3b0zHeMtc4PUuH5YRSU8AH+9y7YMJ\nZQ5IWgO8750EZmZhvLuVji6n6XhbDswk+V045/q/H+kmzsVACZ2TAQ6PPZlZXNIevJ1Pj6aYIzeu\n6s0u/xrHccnFGfReoPMOxfA+aLebWWLCKQC6m+VUDeQnHIfNrK5LmQPAKe80OH/V47vw9kyvAV4F\nWvC6mJJRALR33F0k6Hg9+XQml5YuZeL03DU+rJtretJCwjiWc2JzycUZ7OqT2A+mFpjRzfkxQOKy\n7kMk5ZhZ4gfuaKBjP3fj7R/WeUd7Unn7+DyCt8Pkhf4sMCQ9jHf3koxaIF3SiC4JZoz/+3iWpT/I\nsd2JFBzn8zmDiBvQdxzv7uZUSSUdJ/yNmv4eb3A80YKEMqPxBtlX+KcagGwduf1uT11m78Ubc/nv\nhMSSC8zhyO1ue9rG9gX/9zVdzn8YL+kdz8ZzlXg7ISbqKZbxQMVxPJ8ziLjk4jjeLKpdwDJJH5O0\nAG+Q+yTgP7uUXSLper87axnenUPHt+c7BsZ/JuliSbdy5IyqrtbhfVjfIen9kj6El6jGADkJ5eqA\nEkkXScpOrMDMNgKPAXdK+qI/VXoJ3njLN/1p1+/Us0CRpMQEU+//nifpPR0n/Rl3pwHPHMfzOYOI\nSy7OCc/MGvEGxl8GluANhseBuWa2rkvxLwBfxZtCvBuYY2b1fj1bgBvw7kj+CFyFNyPraM+7FfgE\ncAZeovou3pjLjcBESeP8onfiTYN+Gm+WW1cfw5uccCvelrgXANea2T1JN0L3VuDtjDo/IeYG4A68\niQ6Js8IuASJ+jI7jdqJ0nGRIug7vDmeUmdWkOJzASLodmGdmc3op9xTeRInPBxKYM+C5OxfHcXry\nfeBkSeccrYCkGXh3S3cEFpUz4Lnk4jjOUflTr/8Jr8vuaP4L+JKZdbd6gHOCct1ijuM4Tp9zdy6O\n4zhOn3PJxXEcx+lzLrk4juM4fc4lF8dxHKfPueTiOI7j9DmXXBzHcZw+9zcpOZIPJ/WnWgAAAABJ\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef80d9828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a phase diagram for 2,000 generations across 50 growth rate steps from 3.6 to 4.0\n",
    "# each chaotic growth rate has its own parabola\n",
    "pops = simulate(num_gens=2000, rate_min=3.6, rate_max=4.0, num_rates=50)\n",
    "phase_diagram(pops, xmin=0.25, xmax=0.75, ymin=0.8, ymax=1.01, size=7, \n",
    "              title='Logistic Map Attractor, r=3.6 to r=4.0', color='viridis')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Next, let's demonstrate how to use phase diagrams to differentiate chaos from random noise in time series data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>chaos</th>\n",
       "      <th>random</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.900520</td>\n",
       "      <td>0.417022</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.357438</td>\n",
       "      <td>0.720324</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.916407</td>\n",
       "      <td>0.000114</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.305654</td>\n",
       "      <td>0.302333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.846796</td>\n",
       "      <td>0.146756</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      chaos    random\n",
       "0  0.900520  0.417022\n",
       "1  0.357438  0.720324\n",
       "2  0.916407  0.000114\n",
       "3  0.305654  0.302333\n",
       "4  0.846796  0.146756"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sometimes it is hard to tell if a time series is chaotic or random\n",
    "# generate two time series of 1,000 steps, one chaotic and one random\n",
    "# generate 30,000 time steps for the chaotic series but only keep the final 1,000 (when system is fully evolved)\n",
    "total_gens = 30000\n",
    "gens = 1000\n",
    "np.random.seed(1)\n",
    "\n",
    "chaos_pops = simulate(num_gens=total_gens, rate_min=3.99, num_rates=1)\n",
    "chaos_pops = chaos_pops.iloc[total_gens-gens:].reset_index().drop(labels='index', axis=1)\n",
    "\n",
    "random_pops = pd.DataFrame(np.random.random(gens), columns=['value'])\n",
    "time_series = pd.concat([chaos_pops, random_pops], axis=1)\n",
    "time_series.columns = ['chaos', 'random']\n",
    "time_series.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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3oIMouBn1BmEjQnJ4GIBI7bGwENpP6wNJVxQ27eEBVseKxy9iH7bWUGMSjUyU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pbjzx4SOlPJ6+sBD98yn6PGaYYZwRVolOi+AAyG6cWwSzgm3I+KM/+iPcc889uPfee/G5z30O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\nS1iNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef815f198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the chaotic and random time series to show how they are sometimes tough to differentiate\n",
    "ax = time_series.plot(kind='line', figsize=[10, 6], linewidth=3, alpha=0.6, style=['#003399','#cc0000'])\n",
    "ax.grid(True)\n",
    "ax.set_xlim(40, 90)\n",
    "ax.set_ylim(0, 1)\n",
    "ax.set_title('Time Series, Deterministic Chaos vs Random Data', fontproperties=title_font)\n",
    "ax.set_xlabel('Generation', fontproperties=label_font)\n",
    "ax.set_ylabel('Population', fontproperties=label_font)\n",
    "ax.legend(loc=3)\n",
    "\n",
    "save_fig('chaos-vs-random-line')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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aoWze8IXoriyp1WRpTXfoEInjx5OxeHG510RRZPKiPygsNqJSStm6fBhB/vWn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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef80d9dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot same data as 2D phase diagram instead\n",
    "pops = pd.concat([chaos_pops, random_pops], axis=1)\n",
    "pops.columns = ['chaos', 'random']\n",
    "phase_diagram(pops, size=20, color=['#003399','#cc0000'], ymax=1.005, legend=True, \n",
    "              filename='logistic-attractor-chaos-random')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Now, let's create 3-D phase diagrams to show the same chaos vs random noise, in three dimensions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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6mSkUipgTBhC7Ka3uAkFSKMj/3e9GcUXDZywVYUsKRchix+fzYbfbe0RsOjo6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\naS+/HPBx2pNPxtrU5LFwsvXdd+mtqiLuzju9pgP8ib7dffkkNu9qQlFbg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ilsHR088flB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jx+JOjXcfk5KS0Gq1lJSUEBwcTHZ29ggfqsnCVFtL7U9/SvCyZcz7y18cfx/YtQvD7t2Y6+vH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\nha49iYidxQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29efab3c4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot same data as 3D phase diagram instead\n",
    "phase_diagram_3d(pops, color=['#003399','#cc0000'], filename='logistic-attractor-chaos-random-3d',\n",
    "                 legend=True, legend_bbox_to_anchor=(0.94, 0.9))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## Create a 3-D phase diagram to show the logistic map's strange attractors across the chaotic regime (from r=3.6 to r=4.0), twisting and curling around their state space in three dimensions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "# run logistic model for 4,000 generations across 50 growth rate steps from 3.6 to 4.0\n",
    "pops = simulate(num_gens=4000, rate_min=3.6, rate_max=4.0, num_rates=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zZ+L1evebuNhNvCKaplFdXU11dTWWZbFr1y42b97MsmXLCIfDRKNRwuGwFD8S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CskZ+yaU/neBhkegH9s+QTPdNyLzwVHSj8iyWXVbr6+vj4ymQyBQGDG85gquO7SL5JP+sknXagJ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qnwdQi7T0L5CQkNGmn7nRae3tpbnIOykpic4qhGM7ePOAUSQShZxjMxXIq9VqWK1WsNls8Hi8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef88bd240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# phase diagram: each chaotic growth rate has its own strange attractor curling through state space\n",
    "phase_diagram_3d(pops, title='Logistic Map Attractor, r=3.6 to r=4.0', alpha=0.1, color='viridis', color_reverse=False, \n",
    "                 azim=230, filename='3d-logistic-map-attractor-1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Yv349Q4cOpbS0tL9LyThCCBzHwXEcbNvu899wOMySJUu6fJ5oNMonn3yCz+fD\nMIwON13XO0xT1W/mb0LHcWhoaGDQoEH9XYok7TYy8EhZJR6Po2kahmH0dynfOK7rfq1Akvrrum6H\nZWuahq7r3f71eDz4/f5O71dVlffee48pU6Z0WrsQgg8++ICxY8eiaRq2bWNZVvoWDofb/D91a31c\nUOp911U46uzWm8CkKEqfX5M9xbZtKisrZeCRBhQZeKSssnnzZgoKChg6dGh/l7JL9taXWqq3ZHcE\nk3A4zLvvvpuuXVXVXgUTr9fb7f2qqu729hBCdBsuFEVBURR8Ph9+v79Py3ddt9NQZFkWkUgEy7I6\nBKnW4U5V1Q6BKBgM4vF40ve1D1KapvWpPXaHTAxikvR1yMDzDRSLxdIb12yTzRvhVG9B6sszFSxS\nIaN94Ohqeuu/nfWW9BRIdF3H6/X2ON/777/PkUceKXvTSL7vNE1D0zR8Pl+fluE4TpswZNt2+vid\naDTaaZDqLjD1ppepr+Ey08/OW7lyJSNGjKC4uLi/S5GySPZ940lf2xdffMHIkSOzdmOxtzbGQog+\nBZLOpsdiMaqrq9MhU1XVHgOHYRj4fL5u5/umHmOSjToLTMFgEK/Xy8iRI3t8fOr91FkwisViBIPB\nDr1MrU/FVxSlV7vhdF3HdV2EEAghMvJHRqYHMikzycDTB6Zp4vF4+ruMPsvEDVhvta+99QGv7QNH\n++DR1fTU3/Yb0dSv+p6Cic/n6/Z+TdNYvXo1gwYNoqysbG8219cmv1j2vN5+HlPvJa/X26fn6WyX\nXCocxeNxQqFQenoikaC5ubnNYI6dBaaeepk0Tdtj25tM345t2LCB/fbbr7/LkFqRgacP3n///S4P\njswGiqLs9S+yXdmF011QiUajaJrGF198kV526ougu2BiGAZ+v7/HY0v2JBke+tc3vf1VVcXr9fYq\nMMViMVasWMHRRx+dnpY6aL2zHqZEItHmwO/UfK2HYlAUpdcHe6fClK7rnQabTO15am3r1q0y8GQY\nGXi+gboKPO0PeP06PSad9ZakNmDdBRSPx9NtcNmwYQO5ubkMHz58bzXXbhLCtsKEQpsJhZYBCRAb\ngRgwDBDABuBLIAAMATzAPoCOP+cAPJ5xqGoefv+IfloHaXfL5BDWPlCoqorH4+lz77YQosuDvk3T\nTB/43b4HqrXWB3vbtk1eXl63IaqrwCR9pX14bGxsxOPxEAgE+rGqPUMGnizT+oDXroJHV39T/25p\naaGmpqZkCaQ1AAAgAElEQVTTM0C+7unBqb97shs7k78kUhKJOizrC+KxSkxzKbp3BXFXxQ1GSLiN\nQDIUOoALOCQ/jDrJ6CNYQ/rVUSAW1vCoJYCFRjFwKv6caeTmlqBpw/bI2Tzyi0LanRRF+dqBKdVz\ntGrVKsrKyvB4POlw1P7A79S8re3KkALflMD01ltvtdljce+99zJ+/HhOP/30/itqD5GBZw9JfTh3\nxynC7bU+Pbi7HpPOTg/WdZ3169czePBgBg0alHUf5kyt17Zt4vFtBFvuBJYCLnHh4LhBHOK4AmIO\nOA5oQAKwAYVkwFHd5H02oGpfDYGuAn5A4KBRi1cFVW1CcB+R0H00hgPoyrcw1FMpLDgGxy0nL6+k\nH1pA6qtMfE9n4o+K9scQFRYWUlBQ0OvHtw5MXR343VkPU+u26CosdTY9kw/67o7jOP06HMKeJANP\nD5qammhsbGwTQKLRKB999NEuHfDaWfBIhZLc3NxuA8zu/sCklpltH8SUTNoYR6NbCIc/xrb+BGwh\n5gZBgOUmd1bZJHtwYg4kUHE1FQcvLgrCMUkAigsOKgIFC/C4DgbJIKSpoKGgYqEjMBD4XDBI3ryE\nsfTV2KKSePP/4iNANDqfoqLJ6Hq5PIurnWx9z/eHTG+rXa2vdWDqi9ZnbXYWmOLxeIexmd5+++1O\nA1Nve5n640xMGXi+4dof8FpbW8vYsWPbBJRs+mLJlt1CncmEjbAQgrq6l7GthUCYmBtECBPXhTDJ\n3hvLhYijYqMTdcGy84i7Fpqbh0sxLiqWIzBpxhUOrqIle3VscDVQnTgaO0MP4NUFHuLoroJBAk0V\nGJjk7azJj0m+Aq7ShOncRbjmHlTy8arTKRs0H8PI63RdpP6VqZ/DTK0rpT/qax2YejN45ZIlS5g8\neXL6/6ljJLvqYUpdb6+3o33vqcujyMDzDVZUVERRUVGbaZqmEQgEMuLLty+yte6U/toYJ8fTqSTY\ncj0OH2E6No6bDDgtgOlCHA3T0YkKH5ZwCTv5xG2ViKOiaSqqXUJEeHFcc+duqiJiQksOMJfaxpig\nqqAqFgoaOiaqIwATA/BpDn41jteAFiwM18LAIqgm0AFDC1IMeNVmXP5AXe3neH3HkZd3Gh7PsF1a\n50z/4kvJljqzSaZvJzK9vvZan7jR19G+U4Gps2DU2eVR2l/KpbPLoyQSCTZv3kxjYyOVlZU0NDSw\nY8cOamtrKSwszOohWNqTgacPsu2D1p7s4dl18fhmGhv+QMxdhONEkrupgGYXYo5CDAOTwUQsmyBe\nbFsh4ggSeHEdjZjtwUUhioZju6Dq4Hp27vLyYOOiu2CRDDs6yeN7NBLoeg6QPJ7HQxxDBw0Tw9Lw\n4eBTLXxKCwW6hU+1yHETJFSLXMDvQkJ9C6/7AYn4E6CcRFHR2fj9o/ulHaWOMnF7kunbh2w8Nubr\nah2Y+qqzHqZt27YhhKC6upo33niD1atXs3HjRp588kmam5sZNWoUTz755G5ck/4jA08fpAJDNn/g\nMn2D1p29Wbtpbqe5+UVCif9DsI24A7Gdx+cE0Yg5BiHLIEKAhDOCoGjCdAzilk7c9ZBAxbEFCceL\nJRRsfNi4CJvkbi1XBwGKSJ6pBV8dyKwoKggXVbHxai6aBroSQNUtDAQ6DjomPt0ioHupd2L4sfF5\nYxQ6cfyuRa5iElAcitw4CXUdXq0Sp3ERXs+PKCo8G8Mo6nrlpT0umz+H/Um2W9+0H+1bCIHX62Wf\nffZhn332Ydq0afz85z9n1qxZfOc73+nnanc/GXj6IJt7SCC7699bIdM0m4lG3iIc/TMJdwNxESRm\nQxCICJWwrdMsimk0czDRiZgaUdvEpoCErRDCi2ODa+cQxQXbwBZgCw+WS/LAZsB2jPSeLMsFTUmt\nZzL4oICqgKYkT6/VVIGmWHhVMFQLXRUYegKv7uKnEF0Pk5PII+iNE9DCBHSHPC1GiCg5jssgy8Gn\nbMN0f49d+yyKOp3S0p9hGH27PpQ0cGX6D7pMry8bdPbDXR7DI7WRzYEBsn9DsSfbXghBLLaJ5qbb\niLnvkBBNJPDRYpfQ4kCLK2hxdJrsXKKOj1hCJUYuUVslhhfb9pKwwbI9RF3A9ZFwVRxXwXbBcQ1E\n+hhCDSuhIpID76C2+jQ6O8dbUxTw+CAZj5JUbDQEXt1CV0BT/Riqg0838Ro+PFgE7QQ5egG5eowc\nLUyJJ4cCPRl8ClSH4ngcS1uLYaylrvYlCgrvITf34DZtke3vk/ay9TMbjwdJJNYTCb8AfEzyYK8w\nMBzYB92YQCBwIjk5ObvtOTO9rTK9vmwhA4/Uo2wPPJC9G4w9+SUciWykpfmPhN3lOKISE2ixNRqc\nAqKuj0bHR0vCJoRBOGEQsQOY6EQtA9P2EnU0Eq6K5RjYjk7CVXHRABXbSm1AdPRWgUd0HGYpaWe+\nEUCeD0LoJJrA6wU3x0XHJQeFZmGCI8Cx0SwP/oSLR7NpVP349QQBw0+hJ5egUBikVJNHPjGniYiW\noBCHEgcc71piTZeQG55BcdG5eDxyHJ/+JoQgGFxMJPwbYu66nRPbz7U22Q2YeIhQQsff9GMKi35I\nTs7uuZxBpgfeTK8vG8jAI/VKtgYGyP4NxZ5o+6amfxCL3kbM3YgtHFpsaHRU6t1coo5Ks63TZClE\nrUIitkHY9hB1PCQcnbitYzoeTGHgoGLaGslRcuCrj5iW/rtuxv+kn9dyHMqfuA2ADXOuByBqmfzX\n3+5Kz/PRjGs54MHbAUjEgFhyfJ8QkPylD8WDbRQEYdcG10LHImYbhC2boOkloKtEzDJKvDvYgcYQ\nLUqTHiWoRylKQJFRCe5tRGqeJM97I0VFU3d7G0uda/95rNr+MPC/xJy65AQXTMDeeVB7guRFR1TA\noybfaapqE3MeJNbwIP6m4ykovIvc3L5fqDbTt2+Zfgxlprdfigw8Uo+yvYcnm+vf3bVbVpSmpnsI\nJR7GEVESQINdQK1j0GQpNNgaISufsOUhbPsJ2X6itpeE7SHmGEQdBQcvyUBj8F3vvrxvbyGKxmUU\nc+mMSwFYt24d+fn5DB06tM3zG5rGpnOubzMtx/Cw+bxr20y77ZiTuP2j9yhWVSxNZUckSqNlk7zu\nFjRW7SyBMHkFBo5PEHZscCxClkWzZlOTcCnUA5T6DUKeKEVOM3E7lyY9zBBiDAH82hZC4kLs2u8D\n2TW0fCZ/AXal9Xs5FmuhqfFWYu4jsHPU7ZibHLQySmowS096bCYN0FUTLxDQwK+CT4WY8yaRxmPI\nbb6RYcN/2C/rJWXH+7GzbakMPFIb2RwYIPvr3121W1aI5uYXCCUewBImQRtqnRxqrVyabI1GUyNu\n+2l0/ITsPCKWF9P2EBWe5Ig4joaDDmhcFDiKS4//7z1W9/QDxzP9wPFtph3/4J1stHbuE3N33uwA\noRigQ54Rpniwl0aRwLJtDNvCtgoI2ib5hoegx0fIZ1LsNGHaQSy9mUKgBHB5Ho+vhURiX7ze/ftc\nt9Q7DQ1LaYpeBKIe24aEA00uhNCIOBpR24uDZ+fRW8k9WSpgaDF8CvjcBHmY5KsQMMCnRoi511FV\nFWfIkHl9Ghg1k7+wM337lek9UCmyh0fqUbYHBsj8DUZXdtdGpKXlLRqDvyUuvsTEJGzDDseg1sqh\nMeGhycwhJHIJmxphy0/QyiEuvFg7L+pwyeiTOP+Ak3ZLLX315oVXApBIJFi2dTOPvPceb7Y0JO+0\nIWQHCG0DjDB5motVmsByPWgJE9vxELNjhM0ozV4PYS+EHcEwJ0HEE6fYAT3wJjuaV2LbN1JQMGNA\nbAQz8UvItF8nat8AjovlQr0F9Y5C0M4h6OaSEGpyiAPhZ+cJfijsvNis4sOnQq4WJ0iMiJ4gF5MS\nDXJUgAVU7/gn+QV/JhAo7nVN2bB9yMTXMiUb2g9k4JF6IZM/aL2R7fV/nY1JckTSF2kM34glmom5\nUONqNFgjaXRcaqIQtAtotvxEbC9Bx0scDzHhAXI4kCE8euqVu/y8e7LNvV4vk/cfy+T9x/KLl1/g\n7xvXkz7C1SbZ6wMQJxl+/CYt+TYxxyDm+Ag6USKWTthXQItTx2ARJabHGKxZGHY99eHricfeoqj4\nJvx+eUDz7uI4Dg4LsZw3sADTgloXak0PzU6AZidAWPiJ2n5MF0zXhwvJM/p2Dlfg1fwYqkmO4yeg\n+GghTgkhEm6MIhXKBMT096Hlh+j6k/h8gV7Xl8nbiUzvQcn0+lJk4JF6JHt4+s/X2Yi4rk1z8yME\n47eQcOKEXWgAqsxh1MS8VJsaQdtL1PYTsQIE8SDwcP6gU/GpuZx90JTdth57ym2nnc5tO/+9dEMl\nP/vHIprNna91apeXBcRilOV5SBREidl+onaYqOsnYniJ00zYaSKqt1CGzRA3CvpzJBrfpjDnLxQV\nTeintRs4TNOkvu46PPobCBtCDlQ7UG/lUWvn0WznEXT8RF0fMdubPGjZ9uK2Woaug8fyYqgJ/CoE\ndD85wiThgKnpWHocG4vBANonNDZcwqDBD6LrPV8qINO3D5leH2R2YGxNBh6pW9keeLK9/r7UnkhU\n01C/gBbnX5hunODOX9PbzMHU2H5aEl5CZgEh26DZ9WCRQwmF3H/4zxla3PezXb5u3V/HxP3254OL\nLmPuY4/zUXMT2Duf3wFsP3UxPzTqlAyNgU+lKZEg5mq0OAZBTyFBrZqYqMP1JhgqQKGexvAcYrHr\nGTZs3l5dl4EkefHZ+cSdF7GBBhuqbdhmF9Fg5dNgFRG0fYQdL1HHi4kH21KwMdJnpquAaoGBB4/h\nxaNAxPESsEMkfEWY+JIXpkUB12SQF+ANamtuY9jwG/pt3XenTA4UsocnM8nA0wfZHhiy4YPYlb7U\nHo1+SXPT1USd97BcaHCh3vVQnQhQZebQZAZosXJpEX7CrgfwcMXwWcw8YEq/1r07eL1enpl3AQAr\nt2/nqmf/zvqIA6rY+ekP0LAjgGrEOXREDmGqaLa9WHaIFs9gYuiE3UZCniAjgWIRIyRuomp7mNKy\niwfUhQX3lh1VVxJ2XgQTmm3YYnmotorYYRZSb+XTYuUQtL3EneR7MYGBS3JEbgdaj0FJBAPN8eDX\nTOJCI+JAwvVge/w4OphulLgniJ4wKTZAKH+kqqqAYcMu67HOTN5OZPr2N9PrS5GBR+rRQAg8ra+g\nm212pe0tq5G6pp+TcJYTdaHehTprKBuiuTSYnmTQsXMJ4qGIoZwaGM/pQ45i9OjRe24F+skhw4fz\nxvwr+O4dd7LNErimSPb6eMC1fXy6yaXEU0rp8EIa2U7CycV0fYTtAhqdBqLODvbxOBQbDlFuo76u\nhaHDbkxe8ysLZMJntqrq30Scp1BMaLBgo+Vhi1XE9kQhDVYRTYl8mh0PFh78+JiUN54hagk74hEi\nEZE87RyHQYFcHK/JimAl22ggZhlELYscQ8Nxd163zS3G0QwU08XnaUbgMhiIcSeh0H+Tlzeqyzoz\noa16ksmBDDK/PpCBR+qlbNggdCdb69+VjUg8vpH6hvuIOB8Rc2GHBXX2ML6M51GTyCFs+Wl2/MQJ\nMFQp49HJv96DlWdOm7999ZWEw2Gue/5lXtm2HTe+8+qlPmiwdRq2CYaVldGgthB2wXU8xAXYQscR\nVeyDSbEDceMBqNIoLZuPx5Pf36uV8WpqltBon4uwIWzDRstgk1lMVaKIukQBDYl8WqwAYLCvMZra\nWoeXtu0gYu3ofIEGaKicOvgwQkYTn1ibiVkGLh4sFKLCgytAeC0MFHRPQ/KMLjVBU/BiNO1+cnJG\ndllvJn9hZ8pnqSvZvkurL8MYZAMZePpgIPTwZHP9vak9FNpMTfNsLKeKFhfqLZUvE/nUmF5qzTya\nLJ2wCGDhYf7wuUwfM2kvVJ45AoEA9537AyKRCIfc+QACgWu54AMwqKrSwXApGayxDZUCRyXueIk5\nNqbbyGhPlGIBwv4TTt0mBpfdicdT0N+rlbFCoS2EzXMxbAgl4EtLZZNZxNZ4IdWJQdSZeSRsL+Cn\nocZPg2Umz7CD5Al3Dm0vLaECdnLyy9u2gQEHFAxnyshRvBR6i5iVi2ML6kUBCjtHY1ZMdC3EMBc8\n9qc0Ny3E57uv0y+3bNg+ZHKgyKbA057rurKHR/pKtgeGbPggdqU3tQeDn1Pb8hPiThUJkpeI2BDL\no9ouptEuosUM0IQHCPCHsddQPrTrrv29WXd/yM3NZcONV3LcwrvYYis4cRcsAR4FPIU0bMulpNBL\nYyBK3NaTV3t3crHdHQz1hhihC0TiVeI1WxlW/L/k5o7rl/XI5M9jMFhHTctUVMvBtGCDA5vMMrbF\nS6iKl1Ft5aGTi1mTQ8j0g+1NhhuLZKJxla/CT4oGaCI5II8G2LDGMlnTsp7z9zmOD/iUBgdwDDBT\np7ELjISL4UYwvID6JqHQBxQUTNyr7bE7ZHqgyOT3Y2tyl5bUo2wPPJA9H8jOdFd7JPIpdc3nYLpN\nRFyos2B1rIx6u4RQwk+LyKXIuw9jnW/x60kX7cWqM7vNF19/BZZlccUjz/DKjircsAC/AK9BQ30B\nnhhQplEV03EclZgwcfCgiUaG4uLhc3Y0zGSY8jw5OeX9vToZpaFlLqoTxLKh0oKtiRI2xQvZHiuj\nLpaHSz47qvxg5ieDjkky4JgKqqOgOErHC4cqIDQBGrj6zmOxjOTj/vLFOvbPK+HoocP4yFpBk+ug\nKiYaATxqghzVwmeZlKpBaoNXkZv7Jrru61C3DBRfTya3X4oMPFKPsuGN3J1srr+72k2zhqqG+dii\niYgF213YEiuhOjGIZstHiFwON77D5Yech9/v34tVZwfDMLhv3llc9sBjvLK9DhFJ7ebSMSmhIdFM\nSTFUFSgkxChsdwcxV0eIahQg4Daxo/4UCnMfoKSkf0eh7srefu9XbX8Oy/kcYcM2G7ZaBWyKlbIj\nXkqNnUeipZBQSz643mTQsYCEgmopKHYy8Kjtd2cBqOBqCmigaAJhCFxXgJucsTIUw3EFuYPKaHTq\nUGwXQxH4VBevYuFVTQIW6Opmtu+YyaiR/2izeBkovp5M74FKkYFH6lG29/Bke/2d1R6J1FDVOJUE\ndYQF1FoqO8xCquL5NNhemsnhlJzp/Ozws/qh4szeOLd370XnMn3NWi554lUUU8ExXcgR4C+koTEf\nPdaAM8RH3FFRhI4lbExaGO2x0O04jdHr8PsPJCdnWH+vSr8KBlcTcS7FtaHFhk2mh8pYMVWJUqqt\nIhK1BYRaigA9OQp2XEFNKGimimolD9MhAerO4ZVVkdy7BQoo4GrgGqBqCq6jgOPiegAneQD6pkic\nvG0q+48aQZ21jVosvGocv5aHX7EoVMLkaGAbn9LU9A5FRd/pt7baVZm+/cr0+lJk4JF6lO2BIZvr\n7yw4xOOVbG6YhaCOhAP1MZVPEkOJmHlU27kECXCIPqHfwk5KNrX51APG8fj3WvikIcSdy1bhBF1c\n24UcFdsupcFqhGEuG4Qg6uZju5uJih2Uu+BjB9Sfz/DSe8nJGdPfq9IvXNdlR8sNaCZYDlSaChvj\nheyID2WbWUS8LkCopRSECjEgujPoxBV0C1RboJoCNTXmzs5hk5J7t5LvI1dXcD3Jv8nBJFUUR+C4\nqStuQQgflV9GGDKilLBlUaO4eFXwqXG2qSYB1aRAh/rwNeTlvYuuJ78SsqGHIpPry4b2S5GBR+pW\nNgeGlGyuv3XtiUQjjQ2/Q6eWFhtq47AiPoImq5Sg5SGIj2/rx3LD0Zf0Y8XZ67zjjkVVde5461OI\nkNzFlauAKKFhiwYjvGwTzSBGEsGPK2rYV4lguCvZVH8uo4r/j0DggP5ejb2uescD4Cwj6sIWC7Yk\nitkaH8aOWID65lxEcxG4KkRBjapocRU1DropUKPJ3hzddncetCzQBCBAU8BRkruysMC2VVwEbo6C\na+zs6REqwhW4IjnWVohccupsjLIcWkxBrZogVyvGrwl2OHX4bfDqW6ituYVhw3/Vn83Wa9mw/cqG\nwCN7eKQeZXvgyYYPYlda127bIarq5hN3F9Nkw5dxla2JMlqsAhqFik8fwQ9LTmPmmKn9WHH2u+iU\nKUwZty/f/8uzJEwFx3EhV0BOIQ2bm9FLCnGKXeJ4sF0bIWxUf4JicwtbG2cy3H2S/PxD9nidmfK+\nNs0g9c5tGDZEHNhs5rAxVsq2WAnVoSJEQwG4PoiAGlHRoip6QqBHBKoNuumADZrlotrJ0KKlxglV\nQFXU5MHKqgoeFwywoyquAbaroAsFW4AqVFwl+cCasM7w3FLcHItmp4B6K0GelkuDGqTYSjBEhahy\nP/H4lekLjGZKe3Ylk+vLlh6ezuoUQshxeKS2sjnwQHbXL4QgkWiiof4S4u4SojbUxKA6UUi9W0qj\n5uVAJnPVofMxDKO/ywWyPySPHf0tVv/6Cn7z95d49NPKr3ZxBQqxGxxqbRUxyEC4DiagsgPNb1Fi\nNlPdPAN4ivz8I/p7NfaKzTW/wDAThBxYa0JlbBhbY2W0hAqwa3PAzYUwqGEVLaaih130BHgSDpgu\nRsJFs22wQHWc5NXRU28dBVRFSwYeDVTLwDW0ZPDxApaK6ypAMvSgKEDy9PXtNSrTyg9mpfUJjUo+\nOZpLrh6l0K6lWAWPCo0N/8Ow4fdk9Xs1E2RL+2VLMNtdZODpg2z/8srm+pMfTpuG+huIuUuwXNhm\nwWYrnwa7iFrXx1He0/nJIecN2G7Zvan9++TG2dMJhZ/ihdVVWCGSoSdPQ7SUUmuBM1wj5vpRXQWo\n4kCfRT5RapovRIgHKSjov9CzN97zzc2fkrBfRIjkkAhb4iPYEi+iLlFIU20OiMLkbqyIihFR0GMu\nesxBj7locRcjbqNaDqrpojkO2ALVdUGIZHhRFFxVAUPD0TRUHVxDoNoqlqvi8bqYERVdQPLgZhVH\ndXcmJp23NtUxbEQpzaZLQEtQr+VSonqpUROM1CCqLMKybgYyuwclG2RD+2Xr90BfycDTB9kcGCA7\nPohdSV4D7EWi7j+IOVCVgPWxwdSYhdS7BRTpY7nw4B/JsLMH3Xb+HPZ5eTF3L/kMO6IkD5LNU8Ed\nREOVAmUq68VoNGGjKNWUKw5lVjV14Z/h9b6Cz1fa36uwR5hmgvrQj9Gd5NXPKxM5bIwVURUroqGq\nEJyyZNgJqRhhBb1FoMcd9JiNEbfRYg56wkFL2Kimi2rb4IKSCjwAqoqqG7iqg2qA69FwPDqqa4Cr\n49oqnhwwUdHTZ3R9FXoieAmHVbSAlybbS8AsoE6PUKzXUuiAX7Wor/87mja9P5sy62VLz0m21Lm7\nyMDTB9n+BsnmwGbb/0Lz/I24Y7LdhMp4CdWJAhpEPn5Gcsdht2Rk2Mn290x7PzvtOGZPPITv3fEo\nDSEN23UQAQGijIY4MESwXh2Fovlw2ITmc8mNbWNr7fcZOeglfL7C/l6F3W57zTVg1WI5sMWE9TuP\n26lpKgKzMHk2VlBBC4MedPDEBEYkjhp1MeIORtRCjduopo1i2WBZ4Ljg7rxpGrgOqseDYhhg6KiG\nB9WnYjkmhuNguV4APCIZelRAVRSEqiQHKNRhR53gsMAo6jCpN00K9TwKtDCFahS/BlH7Nvzusf3a\nltkuW4JEttS5u8jA0wfZHBhSsrH+SGQTcfcebFqotlQ2xAvZmiiiWRQSJ5ffl9+UkWEnJRvbvDsl\nJSUsW3gFB15+F0Q0HNvFLXBBKaOhJrlpcdGIujqasoEDvTaKuYHqul8wfMi9GIa3n9dg94nFmgk7\nz6C5UG/DlkQZ22OD2N5SgGgqhoQBYQUjouAJuhhRByNsYkQc9IiFEbZQExZKwoRoLNmTadnJoCPE\nV7u0VBVMCwwDTdVQfB6wvRiugWsZIASuq4Pw4FEEoO28DIWKq4mdl6Pw8Pm2BINHeghqedRZMYo9\nUeqdKCUO6HqIiPsMijKjv5s1a2XLZ10GHqlH2R54svENHo83sr3xahL2doIObDS9bLcKaFYLwfVz\neeGVFBcX93eZA0pv3yf/uTsZeuyEitUEruNCbhENVTqmrWAUG6ykCT/NfMtrolgvU1PrMqjsD3g8\nezf07Kn3flPjj/DZ0OTARlOjMlbC9mgx8YZCsH0QAi2koIdc9KiDpyWRDDshEyNiosUSuJEowjQh\nYX614J2Xi0hznORozPEEjmGAY6PGY2hWANXvgPBhCYEBoHjwKEBUw1VA01Qc3QVNYOGFcBnxXIcm\n1UeD5aVUyyGoRfFooKp/Aabtkbb6JsiWIJEtde4uMvD0wUAIPNlUv+PEaWy4AVssI2xBpalSZRbR\nJAoo1yZx1YRf9HeJPRroG5X/3H0FP/j1/XzaGMNq3nmsVSCPUK2HDcLCFeNwWYtQ6hijCDReQa27\nlqHD7sr6tqmpeZ1Y7EMEsN2EjbEyqqKl1DYVg1OcDDsRDU9Q4Pn/7J15mFxFuf8/Z+t19mSyTBYS\nQlhkB8EYBARZvSByL6jodb1wiYgriKCIKIiIAiqbCj8URfSKXly4Ahe8QgARMBpICJAEss0ks/be\nffosVfX7o9OTSTIzmZnMTPdJ+vM880xP9+k676mpU/U9b71Vb04QTjtYOZ9w1sXMOqhsDll0wC4C\noIXhnEvexYe/9kEaGhq2O1dvby8/vfaXPHbn0tKUl+chQyF0mUOTMUyhQIXwKDmDhBFC1zVMS4ei\njjI0pFXKu9XebbLPgghZr4E+r0jCKtAtCzQKsPQi8BfgqMmuzj2GILTrvU3w7JmL7SeYoAmGwQiK\n/UII+pIPkJd/oeAo1nk63X4rCdXKPONYLjuy+sVOmaDU+Vj51TVLuO7cxYSLOkbagAzghSn0zGFD\nqpk38m/hxfwM1rngCkh6f6Cv748TZo+UclLqPO1+BYCMD5vcGG/abWzONUGmvrTXTkHHzChCeQcz\ns1XspB3MVAGVTEM2D3YRPRzhxhe/zP/aD/Kpm5fsJHYApk6dyuW3f5rH5YNceu8nSh4g10XaRWS+\ngJCUt4oAACAASURBVGYXMXMuVs7DsgWW7WIWBboNelFiODrY2tYEpSESHRaOitHn1bHZa2SLHyUv\nAB+k/uSE192eSlDu9b1N8NQ8PGMg6IInSA28u/sHFPx7yHtp2j3o9FpoF42Emc1nD7qy0ubV2IH3\nnfg2vvnrv4Kj4UoDIQU0Rsh1NrHBkOjafOo0H0kP+1JkY+5zQJSpU7clG5VS4vs+vu/jed6If6fT\naZ588sn+cnRd37qqr0Q+n2fZsmVEIhFCoRDhcJhQKNT/U/7bMIwR3yPp9DpcbzNKwVoX1hZaac81\nku9sArcOshpGGkI5DzPrE8mUxI6RLqCyOcjlAfjP2z/I+ZecO6q6PudjZ3LOx87kmx/+Lk/+4nnI\n5pBKoUNphZauIbUQUpeEDAGagTQVhqUjHAEWZIstzCBKQdpk3DoSVhObTZuQDqa5EtteRzQ6f1R2\n1QiOkAiKneNFTfCMkaALniDYXyi8QcG/CylzdBRLmaY7RSt56rh64Q1EIpFKmzhiglLnOzIam5VS\n+L7P3767hEQiwXtu/TWZrIknfWhsIduu8eZMHV+TuGjU693M0Yqs6/4EK1feCMwCSnVlmiaWZQ36\nOxaL7fQ+wIsvvsgJJ5wwpG3PPvssBx10EFJKXNft/8lms9v97fvbgmYGE0TlH8uy2JI6B01Clwfr\niw2st1vp6GsG2Qq5UtxOKCsIZV0iGR8r42Ck8pDJQsEGC361+YdMmTJlzP+jr/z8cg447g/86JKf\nQy6PpLQySzd0TFPfGrQMugGmbSAtHWXqSEuCZrBhM8zeJ0LCC9Pi1ZOwUkw3bZpxSCZ+RnTW18Zs\n295MUIREUOwcD2qCZwwEdfAaSLXb77pJ+pLfpCByZBxY59XT4bWSoIEz+RCtja2VNnHUVGudK6WQ\nUu7kNSkWi2zevBld14f0uAghtitroBC598Mn88Gf/B+kTTwloLmZXJfJZtMlrM1jipklptk0WoLW\nfW9mwbSHiUTGlmHd9/1hO25N09A0jVgsNuLdt5VSeJ6H4zj9YshxHPL5PMlkEtv9A00NvbgKOl1Y\na09nY7YFlW0q7aSc1QllBJG8i5URmOkiVjIP6QzYReYdP41P33bxuAw45y15D/OPmcuVx3yzX/QY\n/RsV6uiWhxnSkZaG6WjIkAYOYIFbjOK6EXJ6EwnfJulHyJk2jQakxQNM8y/HNOO7bePeRFA8J9Xa\nJ00UNcEzBoLQkIej2u0XQtDb8zUK4v/IebDRNej160nQwLH66exn7J0ZuAejPP0z0qmfga8HYhjG\nTl6T8nHxeJxoNDqox0XX9WHb048+EeHi2/4EKQMPH5rqSXVMZZ3UMbV5RLX1HB2zMd1O1nffyP6z\nv1c1eXw0Tev35uyIlJLX2/8D4ULag1eKzWwqTCXVOwX8RshqWGlBKO9ipH3CGYdQqtAvdo664ADO\nvOgUOjo6SCQSxOPxIb1JA6fahuPoo4/gwrs/wD0X/arkPdI0dNPAsnSwdKThEjIjyJDCDOkoS0eG\nSvv7tHdbzJ4eJuVFSfr19IkULUJRL7N0d/2Ktln/MVHVvEcSFCERFGE2XtQEzxgIuoen2u3PZP6A\nLf9E0Xdpd2G9P4UuNZMoszh//vvZsGFDpU3cbcrTP6ONU/F9f7v/naZpQ079WJZFPB7v/3vgZ6Zp\n7rKjKxQKzJ07l3h87E/37zjsAG74YI4vP7AUkls9PUwltSXEG4ZJg67QtTd4S8wjUvwN6zoa2Xf2\nN6q+E+7c8lvwNmFLeNWB9cWZbEpNAWd6aVVWTiOU97HSgnDGxUrakCqJnXd9YjFX3vN5AJYvX05b\nWxvxeHw7T1KxWCSdTm831Vb2pg0UYjuKonedcyLpvjy//drj4Ppo2RymoSNCOpYZQoR8TEtDWqBZ\nW708YSDTQnQ2ZESOlBelO1TPDJmhToIjf4oQtVQto6Xa2zDUBE+NEaBp2nbBkEGkWgWP47yBXfgl\nBa9AuwPtopmcMYdLpl3LobOOJpVKVdQ+pRRCiBF7Ucq/8/k8Qgg2btzYX9ZgQqT8OxKJUFdXt9P7\npmlWjQdkpJxz0tG87aD5nHrjfZDc6unRG0hsVKxgFlEtT7PRzoKoIuv8P7p7DmP6tPMrbfaQKKVI\niu9iKsj68GZxFptz0ymkm6Cgoed0QhmPUNYnnPWwkjZaIgUFm8POPKBf7MC2eKV4PD5iYVmefhwo\nkAbGIh39roM55B378fV33QWOi2Y7WJaJtEyskA8hHd/SMcOgHB3pSIgaZLZEsWZG6fLqmeHn6TUz\nTPHBMN8gkXiC1tbTJ6pK9ziCIiSCYud4URM8Y6DaPSS7olrt97wCfb1fI+ktp92DDreePtnAudOv\n4tC2bUknx2r7YHEqIxEtg03/DCZELMvCsqxBg2q3bNmCEIIFCxbsVh0FlRkzWnjhW0s49pN3oSUN\nXCRMaaR7SxvLdYmpCzQ2szAG3bnPIrwO2mZ9rtJmD0p391/x3JJ35zUH1tuNdKTqoDgFsmBlBKGs\nj5X2CSeKGL1JyBeYeUQTN//P9bt9fl3XCYfDhMPDb9r4mL2YM5ovhKKLbplY4VLAsgxJzJBAFg20\n0NYl6hHoyhjMboxgR5vodTOkrBCecom50FO4lWx24U6B2yOZatsbCYqQUEoF7gFqd6gJnjFQrYJh\npFTrjdjTczt5+Qw5x6XTjdEtp9FgHMfRM9+O53l4nkc+n6dYLNLV1TUi0TLw/6Tr+rCrfyKRyKAe\nl9EsUx4KXdd3CvDd24hGo3zi1EO59/EVqD4dj9L0VvtmB9+wiBiKVmMLc8KQdm8imjyF5uZDxu38\n43HPKqXY4nySkIKkD+3F6azPteIlmyCnl/JkZV1CGR8rVcRIZSGXx5gW4Wf/uHvQMifyfvzqwx/n\nurN+gu766HkXM2wiHA+zqONbBmZkgJdHi+Apg6wfJunF6BPN9IguogbokZcxNJtCQZBKpbbzLpW9\n3ZqmDbnUf+DflmVVbR80XgRlfAiKMBsvaoJnDARd8MDk3JDl6Z+RTPl43hvosftRussGH7a4jfTY\nEU7138HSpUv7xYeUkkKhQCKR6H9vqIDakcSpTBbVYsdoGe928vkPncohC2bwhR8+DgkDTxOgzaKz\nS/FXbT6NVoIW3SEGtKffQyy2gnB4ZFM9k1HHWzb/ijq3lyKwyYHVhWY6U83gTi0FKmdcImlJKO0R\nThYgmQbg0c6fD1reRN+Hxx13HI8mj+PMGZdgFF1kwcQI6ciQixnRkY6B5pS9PBpdnTFmz3VI+hEy\nXpg+C2ZJsHRobEjR1DR0UtGBy/0HCqIdY5Fcd1vqDNM0hxVH5demGayhKihCYkc7pZSBsHusBKsV\nVQlBFzwjadC7ilMZSsQMtkx5KK9KKBQiHo8jRJGC/B05L8WWInR4U+nVm/nIvt/g6La3b1deJpNh\n7dq1HHTQQeNaJ5NBkNvMeHLqokP544yZnH3tz6BPx0OC1sYm3+evoUOIG8s4QYcIRdZ3f4AD5kzc\nbsyjpUd8lThge/BqcSobc9MRyRbIgZWVpcSgaY9wooCWTIMQPC4frLTZfOALp/PL2/+MXvAwoxbC\nMTCLPn7EQHdAOBq4CqjHzhZI19eR8mKkRDMJmaRVQk/23mEFj67rRCKREe+PVQ7cHyiEHMfBcZz+\neKSycBrYr4RCIQqFAitWrBhSLIVCoYpP1QRBOOwoeIQQe/QUZU3wjJFqHbyGWqa8YwBtMplk2bJl\nI16mvKNYiUQiY1qmvCNCCLo6/xNHPUbag01eA70qxiHGmTuJnTLVWvc1Rs68eVO54NgF/PLZtaB0\nPA2Uvg+rOxzi+n406ms5Kg6Gs4xNm77JnDlfqbTJ9PWtIuwXKCpY7cD6QhubU1PAa0TLaphpFytd\nnsoqrci65aVrKm02AB+94hx+dftfMIRCFjyMsIEMa5iOiQwbSFdHeAJCBn0Zi2h9hF7RQKefZB8B\nTQJMYyW+n8M068bFpvIKw/JqwpGglMJ1XZ555hna2tr6BVEul9vJs1TuJ8oxT0OtbCu/Hk+PcFD6\nqJrgqbFLJsLDM5ZlyuXXo1mmHIvFCIfD5PN5Fi5cOKplyhNBV+e12PIRpFParbZDNhLiMD5x2GWD\nHh+Ep6bBCKrdE8mXLzmHthl/5ubfLkfqOkKXOGIBq6IadYZgqrGOeVFIeXcQ6jqV6dOP3e1z7s7/\noTf/OZCQ8uCfxUbeTLdAegqkwUz5xDKCaMYjnMhDKsN+75rLoYceOqE2jYZHNn6PM+Z+DtP2EDEL\n4RqYjsQvaugRE1HUIKLAjgEFMm6IfLiJPpGmxSsSttrJ5Z6jqenUXZ5roijHCRmGMeLdqYUQg061\n7RiL5Hle/3fKHuhdTbUNJQ6COqVVEzw1dmJgAxlumfKuRMuOS9sna5lyPp+ns7Nz0OSEk0k6vQ5b\n/hQEdHuwwWshzVQub/tSRe2aKILy1FdmMjrsj/3ru6iL1/G1nz1DUdcRhklmSxsvmRCzHM7XNzM1\nDN2Fc4lmXqShYWw7Me8uudx6fH8lABtd6CjMo6t3Cth1GFlFKOtjpH1CvXm0VBo9bHHX4zfvstzJ\nbhOPbvwepy/8HMZWL48X8dAjBror0V0N6SowomS6QljTG0h5aXpFlFmqSKOvKOT/t6KCZywYhkE0\nGiUajY7o+PLD5447bNu2vV08kuM42wVsDxREtm2jlGLz5s07CaZqE0I1wVOjH6UUL7/88nZixbZt\nhBBs2bIFGNsyZdM0K9awquGGk1KSz30eXwiSRXjVt8gYs/iX8CeZM33opdtBj5+qsTPnnf42/vHS\nWn7/Yic2OtKoo2dLKy+aC5hrdXOK4VOHoiP1Aerrn6pI+02kf4QuIePBquIUNmaboTgVMmBmfCIZ\nQThVxEhmwHF5rAridoZCI4Tuge4ILMcAV+C7OppbDl7WyRTjNJAjK+LYIkZSJmkWkJPP4Ps2pjky\n8RBEBk61jZQd87Nt3ry5Pxapr6+vXyAN9MgbhrFLD1I5YHui2nzNw1NjOzRNY+7cuduJmN7eXpLJ\nZCADZ6E6REM2+2dsuQLHg3USctoCPj7ruyxo2fUUQKVtHwvVIDKrmRuu+BCPfehm6AVb15FaM1vU\nLJ6IHMIUczlH1AHuWnqSjzGt5YxJtc3zivR6v0OTsN6F9YVpdKTqwY6hZ0QpUDlVClQmneU/f/Sh\nSbVvtDy65iZOX3gFVtFDFk08R2IWJTJqlIKXPQVaHDIh0laYHi/OHMvEM31csQHHWYNpHlbpy6gq\ndgzYLhQKeJ437L5bgwVsu65LPp/fzrs0VDLboVKQjCZge8e+tCZ4atDc3Lzd37quB3LQHUgl7Xfd\nJPncw2Q8j00ebJEH8vb6z4xI7ARZOAS9zUw0y35xGR/7wh08316kaGgocyavbXT5g+5gGq+yfwQ2\nJj5FxPwjDQ1vmTS7erofAS9NXsEap4GNuZn9sTtWThBK+Vip0m7KejzC+Re9d1TlV6JNf/3nF3P1\nf9yL7giMooce1dFdHcPbFrzcUQixYEqYvB8hK2OkZYaQhHRqKfF4TfAMx0hieMoP0bFYbMRlDrbD\ndnkRykDhNDBge7hYJMdxEEL021sTPDV2oho8JLtDJUVDKTHodWS9R+hyfTr8ZurMozh+ztkjLiPI\ndR80Jruuf3rLp/jAJbfyUqePrQPmXFZtdpgWtplqrKdNt1nT+34Oi/5jVFMOY8V1Xfr8S7GAPhfe\nLLSxsa8eis3oWY9Qausy9L4cFJ1RT2VVqi0vWrQAHdCLCt1VmK7EdyW6ayAcIArKbkYjT8aP0evX\nM11kmOpDzvoNSn0STdtzB8bxYLz72eGS2Q7FwIDtgYKoHIvU19dHKpVizZo1XHXVVfT29pLL5Tjv\nvPOYOnUqU6dO5cILL2TevHnjei2VoiZ4xsCeIHgqZX8y+SgZ8SAFT9Djm/TRxHmtHxzxU0VQPTxB\ntbsS/OrOz3P0e7+D7ATH0HD0efw9nqMt1MkpVpEmrY+1W87koLlPjKrcsbT53p7/JuwpHAVrihob\nc82Qnl7y7qQUobRPJJFH60ty4qW7v4psMtGjYNkgXYHn+Oiuie4odFdHehL0MHYhSiIWJefFyIRN\nfOXjizVkMi/T2HhkpS+haqmWVVq7CtheuXIl06dPp7W1leeee44NGzZwySWXcNNNN9Hb20tvb+9u\nJQ+uNvaeJBrjTJAFD1TGfs8rkrS/jnQFfR50ykb2C53Pga1HjaqcoNZ9UO2uBI/f+x/U2RDeDHSG\n6NuwH4/3HMHqHChAuavY3PGr/uMnqm5z8ucooNuF1wsL2NDTBE4cPeMRykgiKQerLw2W4uoffHFM\n56jUwPjo37+JXm+iOzrWVi+P7oDmaeABaKQTIRw/So+IUBR15CQoqcjn/rsiNkMw7qMg2Ag7CzOl\nFOFwmH333Zdjjz2Wd7/73bS2tlbQwvGlJnjGQM3DMzZs+0mKqpu0gDf8ED4Lee+8JaMqoxqemvYW\nKlnXLS0tPPnzJdR5OlaXgkQ97RsW8ru+hbQXSnG17c6XyOf7JsyGdHoVnvNPchJecwzW55vxctNK\n3p2kIpLyCPcVIJPjtuXXTZgdE8mPfnkphgTDkaV8W55AdwFHAwlZO45UFlk/RlpEyEnwBeTkXxDC\n22X5E0W19wPV4uHZFXvbKq2a4BkDe4LgmWwKhdV0pm8l7bi86Wl0MYP3zfnGiLehr7H3UV9fzy+u\n+1diPWBsAfqm8NL6t/D7vrl0+aAJj1d7PjJh92Jv5jYMwPZhoz2NLelmKLaUvDtZSSjtYPQmMRoj\nHHjggWM6R6X7kfnzW0uxPG5J9Jge6K5CLy9R96LY6RAZEaHLqyMlNHwFUr1JsfhaRWyudJ2NlJrg\nqT5qgmcMBKEh74rJ7DSUUvQlb8d2VpDxYYuczizzTBaMIRN2UMXmntBmKsGBB87nuANixDpB3wz0\n7cvTm/bn+VQDngTD/yer268fcXkj/T/4vk/B/z2C0kaDrxWmkutpgYzCyqhSctDePNhFHk0Onhg0\nKEyfZaC7JdFjuj66I0vTWj6ARtIN4akYRT9KWsawJUgJ6dSvK2Zztd9PQeqjaoKnxrAEddAtM9md\nRW/vw6TEI+QEbPaiJInzgbmDp47Ykwlym6kkd956Kecsnk20A+hQ5Hr25bGeQ9lQAAMoOHeRTK4Y\n13OmUn9EF5D34HU7zqbUVPBmoKd8QilBJGFj9CWZdUzw4xt+8fA1GPUGhgO4EtNV26a1BMhcHb4W\npkdESIo60hJ0Hwry/3baLX4yCMJ9VJvSqk5qgmcM7AmCZ7Lst+1OMsUrwM3TA2T1Azir+avU1Y0t\nAWHQ6z5oVEtdX3/1Bzl2tkG8Q0JHhPY35vBQ9z50OmABq1MfBcSuihkx3YVbkUCXD2sL80kkmyEL\nVloRSnmE+/LguPz0+TvH7ZyV5Jgjp6GLrbE8QqJ7W6e1PMCPgmdgewYZr460MLAV+KoX309UxN4g\niIkg2FgTPDV2SdAH3cmyXylFMnEftpcmIyDJvnxs/r28fc5pu11u0AhC51ft/OSHl1GXg/BGoHsa\nL6x/K08mmkkKCOt9dBq/GJfz5HIbke5afAWrHJNNuSlQmAUJn1BaEEkWMfqSvOvit43L+aqhbXz7\n+0tKsTwemK7E8HeY1uoNYdNIrxejIMIUJbgiSybzj0m3NQjekyDYCDXBU2OEBHHQHchk2J9O/42C\nfJCCgA0iRJwTaY7P2K0yg9CJDEXQ20w18NiDS6hLg7kJ6JzFwx37syobJivBqn+YXK53t8+xOflN\nAPo8WJffh4299ZA1SvvupHzCvTnwfK686/LdPlc1tQkDMFzABa2o0L3SaxTksyaeFsaRBglp4UnQ\nFfTZD0y6ndVUZ0MRJMEzkJrgqbETe4KHZ6KR0qcnezmet5mkBGGcxhn7fGFcyg5y3dfYPZqamvjz\ng0to7AJ9gySz/kAe2jKD9qJJcwhe2Hw0ruuOufxisYDr/REd2OLAhvxUyM6AlE8oJ4kkS7E75147\nufm8JoM/P/dVdNPEcEH3y9Na+tZprWbwTDJ+IwmnnoQoLU/XeQOlxm8qcaRUu5gISh9V8/DU2CVB\nFzww8TdkZ+e38cU6Ch50EuX41ktpiEzZ7XKrvaMbiqDaXY00NTVxwWnzqVsPbKjntdeP58WeFlAw\nRfdYvvGcQb83kjaf6LufkARHwKt2hA3JRijUYaQgkty6MssXXHLNf4zb9VRL29A0rX9aK+RJdE+i\n+eVNCHXshIWrLLKqkV5h4Ciw1RaKxd33qu2JVMv/dTiCJngcxyGVSpFIJOjo6KCnp6c/UetIqAme\nMRB0wTPRN2JPz2sUxB3gQ7cAOJZZ9cHMLD+eBLnNVBuXf/H9NBo68XVAexMPr34rq1KgFCj1Et3d\nL4yp3D7vewigx4UNhTkUks2Q8glnBFbSwehNsPjze25KhXlzLQwBlPfj8bbuxyM1+hwLB4OcMCiI\nGEUJuiyQTI5P7NRICcJ0URBshOAInkKhwFNPPcWVV17JiSeeSFtbG3PmzGH69Om0tbVxxhln8IMf\n/IDNmzcPW05N8IyBoAueiSZR/BAISrE7NHD89CvGNdFjre4nh2rvsJ9+/EoadJ3wm6A27cvP1u3P\nGwWIABtS7yWVGt0KonS6A8NPIRW8bsOb2VYotKGnIZr0iXRn0Q2Lr9/85XG7hmpry9ff8AF0SrE8\nuifRXQleaddlCvVIL0xe1JGQsVIcj4S8+P2k2lhtdTYYQbARql/wuK7Ls88+y0c/+lHOOussnnnm\nGU4//XRuv/12HnzwQe677z6+8pWvMH36dG644QYOOeQQNE37hqZpzYOVV0seOgaqfSCoJLa9FoMt\nCA86BLQa57Nv0/g9EQe17oNqd7Xz3J+u5NhF36Bvjcbm+Ek81Jzi8/O6qTfgtd73sKjpmRGX1Zm5\nHQkkPXi5MJstW1oh4xFOSaxUkbDt8pgd7E0Gd8WcOXPQQ6Vprf4fX0N6CkyLdCZEgxUl59fRI7uY\nLiBkteO6CUKhlkmzs9rvp6B4eKC6Nx68//77ufXWWzn77LO54447mDZt2rDHL126lBNPPHExcLam\naRcqpZYN/Lzm4RkDNQ/P4Pi+TzLxY3IOrPOhnYN597wrxvUcQa77oNpd7Xz3pnfStEnBaoNnXnkb\nzydLO/LU8SabOx4aURm+72OL+9CBbgfa823gzIEUhNI+4Z48ejg0IfZX28D4qYtPwND0UpoJIQYs\nTzco5E0cdNJeKbeWI6GobGy7a9LsC4qYCIKNg3l4dL16ZMG8efN45JFHuOGGG3YpdgBOOOEElFKn\nANezNfpsINVzZQEiyIPuRJLPP0/S/jWuhM0qxDzrvUTD9eN+nlrd1xjICSecwHVfOYX61RLemMtd\nqw5nQ6HUub2Z+9R2AY1DDUKJxBNEfPAlvFSMsS7ZABmwUpJwn0vYlTzSuWdsMrgr3nfeO0oDgwu6\nI7cuT9dAgRAmDhY5aZGTcfIKkJDPPVZZo6uMoPRROwoeKWVVeXhOPvlkZs+ejRAC27aHXYE5cNdv\npdRvlVIv73hMTfCMgZrg2RkhPHqyt+Lj0u1DL1M4ec74rWQpE4Snpj2JoLTzU884hncvihB/zSX7\nxtu5d/0MkhIaDHh+/ft3+f1E8fe4qhSs/Hp+DsXEFEhDJC0IJwoYoYnx7lRr/eqA4ZdSSOje1uBl\nD7DrwQtTEDHSvkFBghKQk49Omm1B8PAEwUao/hgegN7eXu655x4uvvhiLr/8cp577rmd7hvP87jm\nmmt47rnnANCGqPya4BkDNcGzM8nkb/D8FaV8WURp4LgJy4QexLoPQucXdN5z3nE0pcF8SfD3Fafw\nt74wPqDJv9HTs3LY724p/i85YE1RoyPTAnYrRkoRSriEPXhk4/cm5RqqCV2BuVX0IChNa6kweBau\njFDw68gIEAKU2ojvpypscXURhHu+2gVPKpXi/e9/P5/61Kd44YUX+PWvf81xxx3H1772NQqFQv9x\nruty//33s3bt2vJbNcEzngRx0J0ofN8l7dyNlFl69BbeEv4GS97ygwk5VxA6kaGotZmJ59m/f52W\nXgNW1fGjl4/kTRt0DZb3nEVpffXOJJP/AGmTFhpr7Xra+1pLsTspSaTP418+MbHL0KuxTX/58iMx\noLQ83d8ax+MBmkZHQsdBpyiiZGUdBQUCB9fdNCm2BcF7EgQbofp3Wr755pvZuHEjS5cu5bXXXmP9\n+vVcdtllXH/99Vx99dXk83lg23TWrlYD1wTPGKh5eLYnnXmYjLORTh804wgW7bPrKYTdoVb3NYbj\nhb9dw5RVAnflkfx87VxMDeaGXIrxrw16/Pr0Z5liguMq1uZmQrYNPQmxpEvYsPj8tR+dMFurtS3P\nmzdvWxyPuzWOZ+vydOWGcD2TnLRIykhpJ3VfkSu8NCm2VWudDSQINkL1e3heeOEFzj33XI455hig\nJGi+853vcOONN/K9732Pb3/72/1xR0IITHP4hec1wTMGaoJnG0Jk6Mzcii8LdKs4hzV+YZeNbncI\nwlPTYATR7iDaXOYD79mH+ItFXvrHSbzcqyGBmQ3r2LLlr9sdVyzmEf4bCAlv2vBmcjpkTayUxOqT\nfOobR1XmAqqA7eJ4fIVe3nW52ACESfl1ZEUIqUCjSN753aTZVu1tM0genmoWPOFwmFQqhRCl9CVl\nYXPFFVdw5ZVXcv3113PnnXfieR5KqV3aXhM8Y6AmeLbR1f0b8v4bJAUofX/mT9l7B4hdUWszk8cX\nv/4JDqoPo/9d59vLj6PbhZAGazLv2+64LT0/RlOQEbCqsC+Z/uksj7Bh8m//9m8VuoLKYyDRfYnp\nlzYg1Pzy8nQLN6MhpU7eryMlNIQAIV/FdZMTbldQ7qOa4Nl9zjzzTB555BH+67/+i3w+3+/NkVJy\nww038PGPf5zPfOYz3HLLLRSLRUK7WFxQEzxjoCZ4SuRya0k5N2IoSGvNnNhyU6VNqlGjn988x0+7\neQAAIABJREFUfg0zc2Hcp9/Cz9Y2k1NQb8Jjr32i/5iEdxdhDXpdWJ+dCvY0jJQkmoJ7fv3vk2Jn\ntQ6M+80NY0jAB12qktjxS5/1FSwyhEn5IWxpoklAJunr+9Ok2FatdVam5uEZH5YsWcKpp57Kxz/+\ncT7ykY/Q3d0NbPv/33PPPXz4wx/mW9/6FolEgvr64bdBqQmeMRCEhjwZJNO/QIgcGQlR7SxmTTm4\n0iZVLbU2M7EM9QDy7NPXMO3FAn/+yzm8koU6DdqMR+ns3Eih0I0uc7gKVtk6GzNNkDaIJCVhDBYu\nXDjJV1E9KKW4/EtnD4jjYbs4HlG0EF4EIXQyIoKjtuYxk8Ovhhsv26r9fgrSA3E1Cx5N07j33nt5\n9NFHOe+884jFYv3vl3/fd9993HvvvcyZM4doNFr+6qD/gJrgqTEm8vkt9Hm/JSuhm2beNvPTlTap\n6glSJ1gmiDbvyBPLrib+hM+3ntqPnICIBit7F7Gp77tYQJ8LK3L74PZMhQREkiY3/+CMSbGtmuu3\noaFhQByP3BbH4wN+HNBIyzCejNErwfehINfuotTdp5rrrEwQRNlgVJvggVJdnnbaaVxwwQU0NDQM\nesy///u/s2HDhv7gZjVEI6kJnhpjojt1N47sJSdhqvXvtNbNrrRJNWoMSkNDA1de/k7sPy7m4U0G\nPtAWAdu+v1/wdGRaId9COAkWcOyxx1bY6spSHi+mt+roPphi5/147KyFI2LkRJSiAE+BVK/g+/aE\n2xcEMREEG3ekGgXPeNZjTfDUGDWp1P+R9+7D9yGrv4VjZlxcaZOqniB2fkFDKYXjOGSzWRKJBF1d\nXfT29pLL5fjAB09ln7VFfvJf57LeLu1KFtahKOEVO0ZHciokdUIpne/f9K5KX0pVoGka/3be27bF\n8fhbA5cFgEGyGMbFIi0sCtJESlCkcJwNFba88gTBCzUY1Sh4xpNatvQao0IIQV/+RkzfJqWgxTqH\nhtjkZUkOMkHrBCsh0pRS+L6P53m4rovnedu93vF3OU+WUopCocCyZcsIhUJYloVlWQghKBaLOI7D\nF+88hWsveYKr95/Nve9tJ65Brwerc7MhORU9CWEx+d6dahTD5bZ64juP4va7ngNfonslb4/wAAWy\nqOMQwvEjZGSEAjksCbbdTjx+4ITaVo11NpAg2DgYNcFTo8YAisXXyNursSV00cAHpn+40ibVqEKE\nEEOKlcHeG5j4zzRNLMsiFAptJ15isRiNjY39n5Xf1zQN13V58cUXWbx48ZA2PfXUU7y44VbmH/Q5\nsu9+kHAYwhZsTvuQbSGckpyxSOepp54CSkIkHA4TDoeJRCJEIpGdXu/u4FDtInjGjEYI6RgeIEr7\n8eBrIBT4jSjypKRJn4xiyxx1EtL2w0zllAmzqdrrrExN8FQfNcFTY8QIIVjXcz1F5bJBhQhzCrFY\nU6XNqjFBlL0t+Xx+RMLF9/3+7+q6vp0wGShQ4vF4/+vy+5PZyT7/1MW0Zx6kKCBswKf3f5MrnoZI\nUef6667oP05KieM4OI7T7yXKZrP09PT0vzdwS/uBgmjH32VhFhQGeih0QBcuuh9C9w10oSFdBaYG\nBY1iPE5eWBQlmBIkz0y4h6Pa67Lm4Zk4Xn75ZWbPnk1Ly+hnFmqCp8aISaX+DPIphIQ8UU6ru6rS\nJgWGSnZ+QoidRMpgoqX8uvwEbds2mUyGaDS6k3Cpq6vbSbSYplnR6xzpubvthxEabPFgug7zY7D4\ngEfo6z5ru+N0XScajQ5c6jooSik8z+sXQWVxlE6n+98rT73pur6dl8i2bbq7u2loaOj3Jul6dYVW\nGlkXwmAKH1dYpbxaW50sPXmLaMzCF1FyEjwJhkrg+zksa/g9UcZKEMREULxQO1LNgsf3fUzT5B3v\neAe33HILF1544ajLqAmeGiNCCJ9k4WY0IKVr7G98mVmzZlXarECxO51geVAdLpZl4OuB3hbDMHYS\nJ6FQiHA4TH19/U6flQfc5cuXs88++9Dc3Lzb114NKKWQUtLn3U1IQWcxzBbX58gGwQdPep1F739w\nTOVqmtY//barjc+EENsJI6UUmUyGRCLRL5TK7WTgdNpg02oTmcJlIOWl6Z4A3ZPo0kCUd1x2DQQW\nBREhLSO4qkiYIq77JpZ1+ITYEwQxEQRRNhjVLHjK7b2uro66urqxlTGeBtXYc+nq/Bm+WIENTA1d\nyjH71GJ3RstgAbm7Ei7lzl3TtJ2ESfl1JBLZyQNjGEYgO9yJJpVaS1TL4ytYbcf47T9n8cNTVzIj\nBA+8fgSfmdo+oec3DINYLNa/gdr69etZuHAh4XB4u+OUUriuu53HKJ/P09fX1y+YyvmFTNMcVhiF\nQqExtYXydw44rI6XX86BJ9GFQvPV1g0IFcoO4SqTrNQpyjC2KhL3IZP9J/H4xAieoBDE+69aBU97\nezue5zF9+vR+72kqlULXdTRN2+WDRpma4NmLGelTiO/7ZMSdaBLyxFnUtndvMiilHNUqIiFE/7RS\nPp8f1NsSjUb7A3IHfhbETrOa2Zi9BVNCjwuv5WYhCotZumkd752f59hWydEXvYtld/+50mZuFzDd\n2Ng47LEDp9PKv7PZbP9r13X7yxwuzmhgEPZAL8r555/Eypf/WNqAUIBW3o9HAF4MfJOcGSYvTYoK\nkOD4TwAfm4iq6b+Waqbm4RkfpJTous5xxx3Hpk2b+t//5Cc/ySc/+cn+NE8bNmxgzpw5uyyvJnj2\nUkZzMyYSf8H3N5MDhH46YWts7sRqYqzLn2HbFMZQwmXHzwzDIJVKsW7dOo488sgKXvXejqLoPkZE\nhz4H1va1QCLO7+5ewqJrbmZ+FL70mVe58847ueSSSypt7Igpt7VdufnLQdgDhVEmk9nOi1QOwnZd\nl0wmQ3d3N7Pn14NRFjtyW+CyUKBC4IXwQxFsYWELkBa46tUJG/SDICaCMO02GNUmeMrT6/fffz+Z\nTIbGxkbOPPNMLr30UhYvXoyUEtu2aW1tHVF5NcGzl1JWxrvqOJRSdBS/gwHkgaOmfHFS7Bsp5eXP\nwwXhDrf8ebBVROXlzwM/q3RAbiXY065Xaa8S011sCX8vNFPomYme0LnmY4dz14/m8eVPr2deGJbO\nvh2YPMEzWfU8miDsl156iZaWFiKRCI7jYJgm+D6GkCApbUDoAWENO2Pgh6M4op6c6sSXoIleMpke\nGhpax/36giAmgiDKBqPaBE+Z448/fru/Fy1axNlnnz3qcmqCZy9lpBnf0+k/o/sryQnQjHfSXL/P\nuNtSDsgdqbclm83y5JNPAiNb/jzws0qtgAli57enoSIPYwHdLmzMtEF+BpYN5//LKZz/L6dw39/a\nOHoqXLB/inlnncn6hx+ZeJuqcPDWNA3DMIjH40yZMgWAhQvqWPl6qhS47Et0aSK2Pju4roFjGKSl\nSUo2gkpj+R5r1txDPn/cdkHYQ8UZhcPhUQVhB+F+CoKNO1Ktgge2TW9FIpEx21gTPHsxu+pspZS0\nZ76OKSFrxDiy5Zphjx+4/Hkkm80NPP9gwbgDlz8P/OyZZ57hne9853hUwaRSjYPb3oKUkvrm5Uig\n3YG1ySmQ0IlHtg1Ki9p+T7Z4DnUmfPrq11k440LWdN5TOaMryI5t9a1HzWPVq8vBA91TUN6AUCmy\nXphp6NjCxJYmBQlWGNpmNtI268T+8nacTsvlcvT29va/NzAIeyhhFIlEtvPSVis1D8/4U35Yve66\n6zjkkEPGVEZN8OylDHUzDlz+nEn/Fdw3yCsoioNJdml0t6/cTriUOynYtvx5R2/LwOXPA4XLWL0t\nQexIalSWzs5nieulcfrVQj35npnoSZ1//OQL/cccMPcYvr90HsfPXM+iliJ/+MoabvzWTVx51RXD\nlLz7BKE9r1i2HnyBIQBpogtVClqWgBtClwYFaeBISAMRCWix/u+XA6Yjkciw5ynH1g0URo7j9Mca\nOY5DoVDA930SicSQAdjl15Xy6Ab14aaaBU+ZJUuWjPm7NcGzB6KU2im2Zcff+XyeZcuW9R+38/Jn\nAxW/i1AIeoFWLqK+vr62/HmMBLWOgtpx70jW/yU6pczoKzP7Q66ZsNr5f/LpdzzD46/Opi0Mnzpx\nLVd8dQtXTr65FWdHD8XmdSl0AbpQW39TClz2FZgRpGjEFQmEDJGXOlJKfPUsQnxkVAPowO0Xhlpq\n3N3dTU9PDwcddNCgmz12dXX175Bd9gaVt28YShhNRIxeEO/5IAie3aEmeHaDiXZbDrX8eagA3YHe\nlnI+oqGWP3d3d7P//vv3x7nseB2p1Iu0p1aQ8SBqXMDifc/a0bwao2RPEQ/VyK7qttv5Iw0abCzC\nut4W6Ity32Vn7nScrus0h7+I4DvMiShOWfIY+03/CGu7fjZRpgeCj196Kjd/81EQClNKXGGgiXLm\ndMi7HroVIuWH8aWx9Zh/4Pt9GMa0cbdH07RRBWG7rrudOLJtm2Qy2f9eeaNOwzCGFUbhcHhEfX4Q\nprQGu2dqgqfGoIy0MY9ls7mB59gxrqX8dywWG3T580hZu3Yt8XicUCg06Oc92R+i/AJZohw77TMj\nLrdGjWojl2snrglcCa8VIth9zeh5nWMPPWjQ44/d7/M8sPwO9q8r8N59Ujzxn2kWt32Sv26+a9xt\nC4oIPuXso7j5xkcxfIXng17ei0cCSiefgUjIwpVhslIjs/WyNC08TKljY7RiYuCeRg0NDcMe6/v+\nTrFGAzd7LKde2TGx7I7CKKhxRjXBUwMYfPnzxo0b8X1/UOEysMGXRcmO3pbBVhFN1vLn4VZp5fNv\nkiw+ggsUeQvNdeO/MqtGjcmiM/lLNKDHh+WZfSA3g3B8+NiOd7b+lg35M5kVgotOW83drxzMTZ+9\nhSu+/4Vhv7cnMbAfCofD6KYBUoCUICS6MBBbn8+yRYsm0yAvQxSVBbiYsptc/kVaQuObOX0iRaJp\nmpimSTweH/Y4KeVOO2EPTCybzWZZunRp/xRdNSaWDZrgSSaTNDY2DhmXVc61NRw1wTMCNm3axLp1\n67bzqJRXJEUikX5PyUBRU20JAAdjqI5jfd/XCWuQVLBf5BOTbNWeSbW7t/dk8sVbiWuQcWB9ZjYk\nDF793ueH/U7brMN5/uUDOSD2Gu+clua3J63m7h9nuLRQ6E8LMV5UY9sYrG9oqDNx8oBPfxwPopRi\nAhEHP01GhrBlCFfmEVLiyL4Jsa/SdVZeHj1UEPZTTz3FCSecANAfhD3Uho9DJZYdTCCN57gSBMHj\nui6GYWAYBieddBJ33303b33rW4Ht28DKlSs577zzWLFiBZZlDVleTfCMgDlz5uy0bXUmk2H+/PmT\nlsBvvBnKw2PbGyi4jyMV9GFw+pxzK2DdnklQpi/2JBwni9KgqOCVPNjdUzC8kXXop+/3B5Zv2p8G\nHS5d9Fe+sfGDnLDvZ/j7XrJUfcfBcOasRnpe7cYQoEsLBOhy647LnknItPB9C1daZCTUS9BUctzt\nCsJ9NFgOvNEkli3/HhhnNN6JZYMgeH7xi1/Q09NDKBRixYoVPPDAA7zwwgv9IkjXdQzD4Omnn6a9\nvX2XgjCYo3UVMNKN+6qVoZ6QkunfowNJwGTxpNpUo7qo9FP0eLC+6148CXkBq/OzId1GmJFdVyxW\nRzT8MSz/pxzdBEcf/xjL1pzDyftdwv+tvXNc7KvWPmQwuw4+uI2VK7vRJSAUuhywNF1ZODZEYhqe\nsPCViaZ8svb/MtX/GKY5/HL00RKEtjlaG3dMLDsUAxPLlsVQPp8nkUj0v1cOwh4usexgwqbaBM+G\nDRu47bbbkFKilOJHP/oRuq6jlOp/ryzcvvSlL+3S9prg2Q2qtbMaKTva73kZ0t4fEXoEWxzI+xb+\nV4Us2/MIQgcddAar4273J0Q1SDmwMjkfEhqr7hh+Omsgh8+9nr+t+SktBiyZ18dFx7xBx5Y2vvXZ\nW7hqD4/n2bE+X35+DQgfhL5tpZYsr9TSwI7hxkLYIkpOGOjKB7UaIZKY5sxxsyvo/e7uMjBgelfs\nuKdRecPH8kq1dDrNk08+ydNPP81jjz2GbdvccccdHHroocycOZOFCxdy8MEHT8J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smNN97I17/+dbq6uoDwvIlE27Zt27j44ov52te+Vk9aXghq0cOTd+5AksDiLRQKhb2KlygHZufO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\nTJJIAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x29ef83479e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# phase diagram: each chaotic growth rate has its own strange attractor curling through state space\n",
    "phase_diagram_3d(pops, title='Logistic Map Attractor, r=3.6 to r=4.0', alpha=0.1, color='viridis', color_reverse=False, \n",
    "                 elev=7, azim=320, filename='3d-logistic-map-attractor-2')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## In another notebook, I create animated gifs by panning and rotating around my 3-D phase diagrams to reveal more of their structure:\n",
    "[pynamical-demo-3d-animation.ipynb](pynamical-demo-3d-animation.ipynb)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<img src=\"images/phase-animate/05-logistic-3d-phase-diagram-chaotic-regime.gif\"/>"
      ],
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# here's an example of the animated phase diagrams that I create in pynamical-demo-3d-animation.ipynb\n",
    "IPdisplay.Image(url='images/phase-animate/05-logistic-3d-phase-diagram-chaotic-regime.gif')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "## For more information about chaos theory, the logistic map, bifurcation plots, phase diagrams, and strange attractors, check out my write-up:\n",
    "http://geoffboeing.com/2015/03/chaos-theory-logistic-map/\n",
    "<br />and<br />\n",
    "http://geoffboeing.com/2015/04/visualizing-chaos-and-randomness/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": []
  }
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